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155438568 = 23335912197
BaseRepresentation
bin10010100001111…
…00110111101000
3101211111002122000
421100330313220
5304243013233
623231331000
73565130445
oct1120746750
9354432560
10155438568
117a81732a
1244080a60
13262844ac
14169029cc
15d9a5d13
hex943cde8

155438568 has 64 divisors (see below), whose sum is σ = 439128000. Its totient is φ = 50930496.

The previous prime is 155438567. The next prime is 155438573. The reversal of 155438568 is 865834551.

155438568 is a `hidden beast` number, since 1 + 5 + 54 + 38 + 568 = 666.

155438568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1554385682 = 48322296843781248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (155438561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6646 + ... + 18842.

It is an arithmetic number, because the mean of its divisors is an integer number (6861375).

Almost surely, 2155438568 is an apocalyptic number.

155438568 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 155438568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219564000).

155438568 is an abundant number, since it is smaller than the sum of its proper divisors (283689432).

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

155438568 is a wasteful number, since it uses less digits than its factorization.

155438568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12271 (or 12261 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 155438568 is about 12467.5004712252. The cubic root of 155438568 is about 537.6746926672.

The spelling of 155438568 in words is "one hundred fifty-five million, four hundred thirty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1416 1593 2124 3186 4248 6372 12197 12744 24394 36591 48788 73182 97576 109773 146364 219546 292728 329319 439092 658638 719623 878184 1317276 1439246 2158869 2634552 2878492 4317738 5756984 6476607 8635476 12953214 17270952 19429821 25906428 38859642 51812856 77719284 155438568