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147315948 = 223132174273
BaseRepresentation
bin10001100011111…
…01110011101100
3101021012102111020
420301331303230
5300203102243
622341254140
73436110363
oct1061756354
9337172436
10147315948
117617971a
1241404350
132469c300
14157ca7da
15cdee283
hex8c7dcec

147315948 has 72 divisors (see below), whose sum is σ = 394199568. Its totient is φ = 42651648.

The previous prime is 147315947. The next prime is 147316003. The reversal of 147315948 is 849513741.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (147315941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32340 + ... + 36612.

It is an arithmetic number, because the mean of its divisors is an integer number (5474994).

Almost surely, 2147315948 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 147315948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197099784).

147315948 is an abundant number, since it is smaller than the sum of its proper divisors (246883620).

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

147315948 is a wasteful number, since it uses less digits than its factorization.

147315948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4308 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 147315948 is about 12137.3781353305. The cubic root of 147315948 is about 528.1410464552.

The spelling of 147315948 in words is "one hundred forty-seven million, three hundred fifteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 338 442 507 663 676 884 1014 1326 2028 2652 2873 4273 5746 8546 8619 11492 12819 17092 17238 25638 34476 51276 55549 72641 111098 145282 166647 217923 222196 290564 333294 435846 666588 722137 871692 944333 1444274 1888666 2166411 2832999 2888548 3777332 4332822 5665998 8665644 11331996 12276329 24552658 36828987 49105316 73657974 147315948