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151989552 = 24321131361
BaseRepresentation
bin10010000111100…
…10110100110000
3101120222212110200
421003302310300
5302402131202
623025355200
73523614141
oct1103626460
9346885420
10151989552
1178881000
1242a98b00
1325647660
1416285ac8
15d523e1c
hex90f2d30

151989552 has 240 divisors, whose sum is σ = 512113056. Its totient is φ = 41817600.

The previous prime is 151989533. The next prime is 151989557. The reversal of 151989552 is 255989151.

151989552 is a `hidden beast` number, since 1 + 5 + 1 + 98 + 9 + 552 = 666.

Its product of digits (162000) is a multiple of the sum of its prime divisors (90).

It is a junction number, because it is equal to n+sod(n) for n = 151989498 and 151989507.

It is not an unprimeable number, because it can be changed into a prime (151989557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2491602 + ... + 2491662.

Almost surely, 2151989552 is an apocalyptic number.

151989552 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 151989552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256056528).

151989552 is an abundant number, since it is smaller than the sum of its proper divisors (360123504).

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

151989552 is a wasteful number, since it uses less digits than its factorization.

151989552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its digits is 162000, while the sum is 45.

The square root of 151989552 is about 12328.4042763044. The cubic root of 151989552 is about 533.6681016307.

The spelling of 151989552 in words is "one hundred fifty-one million, nine hundred eighty-nine thousand, five hundred fifty-two".