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147914352 = 24327314071
BaseRepresentation
bin10001101000011…
…11111001110000
3101022022211100100
420310033321300
5300331224402
622402152400
73444152115
oct1064177160
9338284310
10147914352
1176548273
1241652700
132484b7b1
141590490c
15cebb71c
hex8d0fe70

147914352 has 60 divisors (see below), whose sum is σ = 419655184. Its totient is φ = 48625920.

The previous prime is 147914341. The next prime is 147914353. The reversal of 147914352 is 253419741.

147914352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147914353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3477 + ... + 17547.

Almost surely, 2147914352 is an apocalyptic number.

147914352 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 147914352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209827592).

147914352 is an abundant number, since it is smaller than the sum of its proper divisors (271740832).

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

147914352 is a wasteful number, since it uses less digits than its factorization.

147914352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14158 (or 14149 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 147914352 is about 12162.0044400584. The cubic root of 147914352 is about 528.8551912507.

The spelling of 147914352 in words is "one hundred forty-seven million, nine hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 14071 28142 42213 56284 84426 112568 126639 168852 225136 253278 337704 506556 675408 1013112 1027183 2026224 2054366 3081549 4108732 6163098 8217464 9244647 12326196 16434928 18489294 24652392 36978588 49304784 73957176 147914352