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155131648 = 287283149
BaseRepresentation
bin10010011111100…
…01111100000000
3101210220111121121
421033301330000
5304203203043
623221002024
73562411600
oct1117617400
9353814547
10155131648
117a627781
1243b53314
13261a7899
1416862c00
15d944ded
hex93f1f00

155131648 has 108 divisors (see below), whose sum is σ = 367000200. Its totient is φ = 65243136.

The previous prime is 155131609. The next prime is 155131649. The reversal of 155131648 is 846131551.

It is a super-2 number, since 2×1551316482 = 48131656422391808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155131649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1041078 + ... + 1041226.

It is an arithmetic number, because the mean of its divisors is an integer number (3398150).

Almost surely, 2155131648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183500100).

155131648 is an abundant number, since it is smaller than the sum of its proper divisors (211868552).

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

155131648 is an equidigital number, since it uses as much as digits as its factorization.

155131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

The square root of 155131648 is about 12455.1855867345. The cubic root of 155131648 is about 537.3205723800.

It can be divided in two parts, 15513 and 1648, that added together give a square (17161 = 1312).

The spelling of 155131648 in words is "one hundred fifty-five million, one hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 83 98 112 128 149 166 196 224 256 298 332 392 448 581 596 664 784 896 1043 1162 1192 1328 1568 1792 2086 2324 2384 2656 3136 4067 4172 4648 4768 5312 6272 7301 8134 8344 9296 9536 10624 12367 12544 14602 16268 16688 18592 19072 21248 24734 29204 32536 33376 37184 38144 49468 58408 65072 66752 74368 86569 98936 116816 130144 133504 148736 173138 197872 233632 260288 267008 346276 395744 467264 520576 605983 692552 791488 934528 1041152 1211966 1385104 1582976 1869056 2423932 2770208 3165952 4847864 5540416 9695728 11080832 19391456 22161664 38782912 77565824 155131648