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155146248 = 233219247127
BaseRepresentation
bin10010011111101…
…01100000001000
3101210221020122100
421033311200020
5304204134443
623221153400
73562502265
oct1117654010
9353836570
10155146248
117a637744
1243b5b860
13261b141a
141686826c
15d9493d3
hex93f5808

155146248 has 144 divisors (see below), whose sum is σ = 456468480. Its totient is φ = 47573568.

The previous prime is 155146237. The next prime is 155146249. The reversal of 155146248 is 842641551.

It is a happy number.

155146248 is a `hidden beast` number, since 1 + 551 + 4 + 62 + 48 = 666.

155146248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (155146249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1221561 + ... + 1221687.

It is an arithmetic number, because the mean of its divisors is an integer number (3169920).

Almost surely, 2155146248 is an apocalyptic number.

155146248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155146248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228234240).

155146248 is an abundant number, since it is smaller than the sum of its proper divisors (301322232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155146248 is a wasteful number, since it uses less digits than its factorization.

155146248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 155146248 is about 12455.7716742079. The cubic root of 155146248 is about 537.3374282449.

Adding to 155146248 its reverse (842641551), we get a palindrome (997787799).

The spelling of 155146248 in words is "one hundred fifty-five million, one hundred forty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 47 57 72 76 94 114 127 141 152 171 188 228 254 282 342 361 376 381 423 456 508 564 684 722 762 846 893 1016 1083 1128 1143 1368 1444 1524 1692 1786 2166 2286 2413 2679 2888 3048 3249 3384 3572 4332 4572 4826 5358 5969 6498 7144 7239 8037 8664 9144 9652 10716 11938 12996 14478 16074 16967 17907 19304 21432 21717 23876 25992 28956 32148 33934 35814 43434 45847 47752 50901 53721 57912 64296 67868 71628 86868 91694 101802 107442 113411 135736 137541 143256 152703 173736 183388 203604 214884 226822 275082 305406 340233 366776 407208 412623 429768 453644 550164 610812 680466 825246 907288 1020699 1100328 1221624 1360932 1650492 2041398 2154809 2721864 3300984 4082796 4309618 6464427 8165592 8619236 12928854 17238472 19393281 25857708 38786562 51715416 77573124 155146248