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153788028 = 223231134931
BaseRepresentation
bin10010010101010…
…01111001111100
3101201101020111220
421022221321330
5303332204103
623132113340
73545114412
oct1112517174
9351336456
10153788028
117989a249
1243605850
1325b27144
14165d32b2
15d77bc53
hex92a9e7c

153788028 has 48 divisors (see below), whose sum is σ = 377830656. Its totient is φ = 48590080.

The previous prime is 153788023. The next prime is 153788039. The reversal of 153788028 is 820887351.

It is a happy number.

It is a super-2 number, since 2×1537880282 = 47301515112257568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153788023) 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, 28723 + ... + 33653.

It is an arithmetic number, because the mean of its divisors is an integer number (7871472).

Almost surely, 2153788028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153788028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188915328).

153788028 is an abundant number, since it is smaller than the sum of its proper divisors (224042628).

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

153788028 is a wasteful number, since it uses less digits than its factorization.

153788028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 153788028 is about 12401.1301097924. The cubic root of 153788028 is about 535.7647989753.

The spelling of 153788028 in words is "one hundred fifty-three million, seven hundred eighty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 113 138 226 276 339 452 678 1356 2599 4931 5198 7797 9862 10396 14793 15594 19724 29586 31188 59172 113413 226826 340239 453652 557203 680478 1114406 1360956 1671609 2228812 3343218 6686436 12815669 25631338 38447007 51262676 76894014 153788028