Search a number
-
+
148813632 = 2633117829
BaseRepresentation
bin10001101111010…
…11011101000000
3101101000111221000
420313223131000
5301044014012
622433332000
73454615662
oct1067533500
9341014830
10148813632
1177001980
1241a07000
1324aa4c06
1415a9a532
15d0e7ddc
hex8deb740

148813632 has 112 divisors (see below), whose sum is σ = 477316800. Its totient is φ = 45089280.

The previous prime is 148813591. The next prime is 148813649. The reversal of 148813632 is 236318841.

148813632 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 13 + 632 = 666.

148813632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15094 + ... + 22922.

Almost surely, 2148813632 is an apocalyptic number.

148813632 is a gapful number since it is divisible by the number (12) 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 148813632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238658400).

148813632 is an abundant number, since it is smaller than the sum of its proper divisors (328503168).

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

148813632 is a wasteful number, since it uses less digits than its factorization.

148813632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7861 (or 7845 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 148813632 is about 12198.9192963967. The cubic root of 148813632 is about 529.9247929361.

The spelling of 148813632 in words is "one hundred forty-eight million, eight hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 7829 9504 15658 19008 23487 31316 46974 62632 70461 86119 93948 125264 140922 172238 187896 211383 250528 258357 281844 344476 375792 422766 501056 516714 563688 688952 751584 775071 845532 1033428 1127376 1377904 1503168 1550142 1691064 2066856 2254752 2325213 2755808 3100284 3382128 4133712 4509504 4650426 5511616 6200568 6764256 8267424 9300852 12401136 13528512 16534848 18601704 24802272 37203408 49604544 74406816 148813632