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33972096 = 27388469
BaseRepresentation
bin1000000110010…
…1111110000000
32100220221221210
42001211332000
532144101341
63212050120
7561521004
oct201457600
970827853
1033972096
11181a3814
12b463940
137065c42
144724704
152eb0c16
hex2065f80

33972096 has 32 divisors (see below), whose sum is σ = 90239400. Its totient is φ = 11323904.

The previous prime is 33972091. The next prime is 33972143. The reversal of 33972096 is 69027933.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33972091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43851 + ... + 44618.

Almost surely, 233972096 is an apocalyptic number.

It is an amenable number.

33972096 is an abundant number, since it is smaller than the sum of its proper divisors (56267304).

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

33972096 is an equidigital number, since it uses as much as digits as its factorization.

33972096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88486 (or 88474 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 33972096 is about 5828.5586554482. The cubic root of 33972096 is about 323.8725302561.

The spelling of 33972096 in words is "thirty-three million, nine hundred seventy-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 88469 176938 265407 353876 530814 707752 1061628 1415504 2123256 2831008 4246512 5662016 8493024 11324032 16986048 33972096