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155819052 = 2234593811
BaseRepresentation
bin10010100100110…
…01110000101100
3101212012102120000
421102121300230
5304342202202
623243424300
73601303644
oct1122316054
9355172500
10155819052
117aa57184
1244225090
132638872c
14169a1524
15da2d91c
hex9499c2c

155819052 has 60 divisors (see below), whose sum is σ = 408531816. Its totient is φ = 51788160.

The previous prime is 155819039. The next prime is 155819087. The reversal of 155819052 is 250918551.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 155818998 and 155819016.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191727 + ... + 192537.

Almost surely, 2155819052 is an apocalyptic number.

155819052 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 155819052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204265908).

155819052 is an abundant number, since it is smaller than the sum of its proper divisors (252712764).

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

155819052 is a wasteful number, since it uses less digits than its factorization.

155819052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 155819052 is about 12482.7501777453. The cubic root of 155819052 is about 538.1130435979.

The spelling of 155819052 in words is "one hundred fifty-five million, eight hundred nineteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 593 811 1186 1622 1779 2372 2433 3244 3558 4866 5337 7116 7299 9732 10674 14598 16011 21348 21897 29196 32022 43794 48033 64044 65691 87588 96066 131382 192132 262764 480923 961846 1442769 1923692 2885538 4328307 5771076 8656614 12984921 17313228 25969842 38954763 51939684 77909526 155819052