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152556032 = 29378053
BaseRepresentation
bin10010001011111…
…01001000000000
3101122001122112102
421011331020000
5303023243112
623045445532
73531463526
oct1105751000
9348048472
10152556032
1179128672
12431108a8
13257b5455
1416392316
15d5d6bc2
hex917d200

152556032 has 40 divisors (see below), whose sum is σ = 313091196. Its totient is φ = 74207232.

The previous prime is 152556013. The next prime is 152556091. The reversal of 152556032 is 230655251.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 132342016 + 20214016 = 11504^2 + 4496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 152555986 and 152556004.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14918 + ... + 22970.

Almost surely, 2152556032 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 152556032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156545598).

152556032 is an abundant number, since it is smaller than the sum of its proper divisors (160535164).

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

152556032 is an frugal number, since it uses more digits than its factorization.

152556032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8108 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 152556032 is about 12351.3574962431. The cubic root of 152556032 is about 534.3302907865.

The spelling of 152556032 in words is "one hundred fifty-two million, five hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1184 2368 4736 8053 9472 16106 18944 32212 64424 128848 257696 297961 515392 595922 1030784 1191844 2061568 2383688 4123136 4767376 9534752 19069504 38139008 76278016 152556032