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150513352 = 23112612549
BaseRepresentation
bin10001111100010…
…10011011001000
3101111012212111121
420332022123020
5302012411402
622534005024
73505225303
oct1076123310
9344185447
10150513352
1177a62a00
12424a6774
132524b772
1415dbdb3a
15d331837
hex8f8a6c8

150513352 has 48 divisors (see below), whose sum is σ = 315409500. Its totient is φ = 67267200.

The previous prime is 150513347. The next prime is 150513409. The reversal of 150513352 is 253315051.

It can be written as a sum of positive squares in 2 ways, for example, as 150160516 + 352836 = 12254^2 + 594^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57774 + ... + 60322.

Almost surely, 2150513352 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 150513352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157704750).

150513352 is an abundant number, since it is smaller than the sum of its proper divisors (164896148).

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

150513352 is a wasteful number, since it uses less digits than its factorization.

150513352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 150513352 is about 12268.3883212099. The cubic root of 150513352 is about 531.9347254415.

The spelling of 150513352 in words is "one hundred fifty million, five hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 61 88 121 122 242 244 484 488 671 968 1342 2549 2684 5098 5368 7381 10196 14762 20392 28039 29524 56078 59048 112156 155489 224312 308429 310978 616858 621956 1233716 1243912 1710379 2467432 3420758 6841516 13683032 18814169 37628338 75256676 150513352