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151889152 = 281722053
BaseRepresentation
bin10010000110110…
…10010100000000
3101120210202202011
421003122110000
5302340423102
623023302304
73523015342
oct1103322400
9346722664
10151889152
1178812628
1242a4a994
1325610a4c
141625b292
15d5042d7
hex90da500

151889152 has 54 divisors (see below), whose sum is σ = 322225358. Its totient is φ = 71442432.

The previous prime is 151889147. The next prime is 151889161. The reversal of 151889152 is 251988151.

151889152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 62473216 + 89415936 = 7904^2 + 9456^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72958 + ... + 75010.

Almost surely, 2151889152 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 151889152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161112679).

151889152 is an abundant number, since it is smaller than the sum of its proper divisors (170336206).

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

151889152 is an equidigital number, since it uses as much as digits as its factorization.

151889152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2072 counting only the distinct ones).

The product of its digits is 28800, while the sum is 40.

The square root of 151889152 is about 12324.3317060196. The cubic root of 151889152 is about 533.5505670614.

The spelling of 151889152 in words is "one hundred fifty-one million, eight hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 2053 2176 2312 4106 4352 4624 8212 9248 16424 18496 32848 34901 36992 65696 69802 73984 131392 139604 262784 279208 525568 558416 593317 1116832 1186634 2233664 2373268 4467328 4746536 8934656 9493072 18986144 37972288 75944576 151889152