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133172352 = 2732115601
BaseRepresentation
bin1111111000000…
…00110010000000
3100021120212010100
413330000302000
5233043003402
621114202400
73204642405
oct774006200
9307525110
10133172352
11691993a5
1238723400
1321789711
14139882ac
15ba5871c
hex7f00c80

133172352 has 48 divisors (see below), whose sum is σ = 383220630. Its totient is φ = 44390400.

The previous prime is 133172293. The next prime is 133172353. The reversal of 133172352 is 253271331.

It can be written as a sum of positive squares in only one way, i.e., 66977856 + 66194496 = 8184^2 + 8136^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (133172353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56649 + ... + 58952.

Almost surely, 2133172352 is an apocalyptic number.

133172352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133172352 is an abundant number, since it is smaller than the sum of its proper divisors (250048278).

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

133172352 is a wasteful number, since it uses less digits than its factorization.

133172352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115621 (or 115606 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 133172352 is about 11540.0325822764. The cubic root of 133172352 is about 510.6672696044.

The spelling of 133172352 in words is "one hundred thirty-three million, one hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 115601 231202 346803 462404 693606 924808 1040409 1387212 1849616 2080818 2774424 3699232 4161636 5548848 7398464 8323272 11097696 14796928 16646544 22195392 33293088 44390784 66586176 133172352