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33897096 = 23331391129
BaseRepresentation
bin1000000101001…
…1101010001000
32100210011002000
42001103222020
532134201341
63210311000
7561056232
oct201235210
970704060
1033897096
1118152432
12b428460
13703aa6c
144705252
152e988b6
hex2053a88

33897096 has 64 divisors (see below), whose sum is σ = 94920000. Its totient is φ = 11207808.

The previous prime is 33897079. The next prime is 33897103. The reversal of 33897096 is 69079833.

It is a happy number.

It is a super-2 number, since 2×338970962 = 2298026234466432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29460 + ... + 30588.

It is an arithmetic number, because the mean of its divisors is an integer number (1483125).

Almost surely, 233897096 is an apocalyptic number.

33897096 is a gapful number since it is divisible by the number (36) 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 33897096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47460000).

33897096 is an abundant number, since it is smaller than the sum of its proper divisors (61022904).

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

33897096 is a wasteful number, since it uses less digits than its factorization.

33897096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 33897096 is about 5822.1212629075. The cubic root of 33897096 is about 323.6340174777.

The spelling of 33897096 in words is "thirty-three million, eight hundred ninety-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 556 834 1112 1129 1251 1668 2258 2502 3336 3387 3753 4516 5004 6774 7506 9032 10008 10161 13548 15012 20322 27096 30024 30483 40644 60966 81288 121932 156931 243864 313862 470793 627724 941586 1255448 1412379 1883172 2824758 3766344 4237137 5649516 8474274 11299032 16948548 33897096