Search a number
-
+
155905152 = 2731331231
BaseRepresentation
bin10010100101011…
…10110010000000
3101212100210122220
421102232302000
5304402431102
623245331040
73602112654
oct1122566200
9355323586
10155905152
1180005937
1244266a80
13263b8990
14169c4a64
15da491bc
hex94aec80

155905152 has 64 divisors (see below), whose sum is σ = 445992960. Its totient is φ = 47969280.

The previous prime is 155905117. The next prime is 155905153. The reversal of 155905152 is 251509551.

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

It is not an unprimeable number, because it can be changed into a prime (155905153) 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, 10624 + ... + 20607.

It is an arithmetic number, because the mean of its divisors is an integer number (6968640).

Almost surely, 2155905152 is an apocalyptic number.

155905152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

155905152 is an abundant number, since it is smaller than the sum of its proper divisors (290087808).

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

155905152 is a wasteful number, since it uses less digits than its factorization.

155905152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31261 (or 31249 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 33.

The square root of 155905152 is about 12486.1984607005. The cubic root of 155905152 is about 538.2121393148.

The spelling of 155905152 in words is "one hundred fifty-five million, nine hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 31231 62462 93693 124924 187386 249848 374772 406003 499696 749544 812006 999392 1218009 1499088 1624012 1998784 2436018 2998176 3248024 3997568 4872036 5996352 6496048 9744072 11992704 12992096 19488144 25984192 38976288 51968384 77952576 155905152