Search a number
-
+
155642496 = 273409991
BaseRepresentation
bin10010100011011…
…10101010000000
3101211212110100220
421101232222000
5304321024441
623235543040
73566640132
oct1121565200
9354773326
10155642496
117a946569
124415aa80
1326326269
1416957052
15d9e6466
hex946ea80

155642496 has 64 divisors (see below), whose sum is σ = 414854400. Its totient is φ = 51701760.

The previous prime is 155642491. The next prime is 155642527. The reversal of 155642496 is 694246551.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1556424962 = 48449173122220032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (155642491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156561 + ... + 157551.

It is an arithmetic number, because the mean of its divisors is an integer number (6482100).

Almost surely, 2155642496 is an apocalyptic number.

155642496 is a gapful number since it is divisible by the number (16) 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 155642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207427200).

155642496 is an abundant number, since it is smaller than the sum of its proper divisors (259211904).

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

155642496 is an equidigital number, since it uses as much as digits as its factorization.

155642496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1405 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 155642496 is about 12475.6761740597. The cubic root of 155642496 is about 537.9097244454.

The spelling of 155642496 in words is "one hundred fifty-five million, six hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 409 818 991 1227 1636 1982 2454 2973 3272 3964 4908 5946 6544 7928 9816 11892 13088 15856 19632 23784 26176 31712 39264 47568 52352 63424 78528 95136 126848 157056 190272 380544 405319 810638 1215957 1621276 2431914 3242552 4863828 6485104 9727656 12970208 19455312 25940416 38910624 51880832 77821248 155642496