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155828232 = 23337214723
BaseRepresentation
bin10010100100111…
…00000000001000
3101212012220011000
421102130000020
5304343000412
623243535000
73601342500
oct1122340010
9355186130
10155828232
117aa6306a
124422a460
132638c971
14169a4a00
15da314dc
hex949c008

155828232 has 96 divisors (see below), whose sum is σ = 503560800. Its totient is φ = 44519328.

The previous prime is 155828213. The next prime is 155828237. The reversal of 155828232 is 232828551.

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

It is not an unprimeable number, because it can be changed into a prime (155828237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3223 + ... + 17945.

It is an arithmetic number, because the mean of its divisors is an integer number (5245425).

Almost surely, 2155828232 is an apocalyptic number.

155828232 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 155828232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251780400).

155828232 is an abundant number, since it is smaller than the sum of its proper divisors (347732568).

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

155828232 is a wasteful number, since it uses less digits than its factorization.

155828232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14752 (or 14735 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 155828232 is about 12483.1178797606. The cubic root of 155828232 is about 538.1236109423.

The spelling of 155828232 in words is "one hundred fifty-five million, eight hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 14723 29446 44169 58892 88338 103061 117784 132507 176676 206122 265014 309183 353352 397521 412244 530028 618366 721427 795042 824488 927549 1060056 1236732 1442854 1590084 1855098 2164281 2473464 2782647 2885708 3180168 3710196 4328562 5565294 5771416 6492843 7420392 8657124 11130588 12985686 17314248 19478529 22261176 25971372 38957058 51942744 77914116 155828232