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147705152 = 267487677
BaseRepresentation
bin10001100110111…
…00110101000000
3101021221012101012
420303130311000
5300303031102
622353500052
73442321160
oct1063346500
9337835335
10147705152
1176415081
1241571628
13247a74ca
141588c5a0
15ce79752
hex8cdcd40

147705152 has 56 divisors (see below), whose sum is σ = 336157824. Its totient is φ = 63078912.

The previous prime is 147705139. The next prime is 147705157. The reversal of 147705152 is 251507741.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147705157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217838 + ... + 218514.

Almost surely, 2147705152 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 147705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168078912).

147705152 is an abundant number, since it is smaller than the sum of its proper divisors (188452672).

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

147705152 is an equidigital number, since it uses as much as digits as its factorization.

147705152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 147705152 is about 12153.4008409169. The cubic root of 147705152 is about 528.6057480099.

The spelling of 147705152 in words is "one hundred forty-seven million, seven hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 487 677 974 1354 1948 2708 3409 3896 4739 5416 6818 7792 9478 10832 13636 15584 18956 21664 27272 31168 37912 43328 54544 75824 109088 151648 218176 303296 329699 659398 1318796 2307893 2637592 4615786 5275184 9231572 10550368 18463144 21100736 36926288 73852576 147705152