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33070896 = 2433372069
BaseRepresentation
bin111111000100…
…1111100110000
32022020011202000
41332021330300
531431232041
63140454000
7551045415
oct176117460
968204660
1033070896
1117738721
12b0aa300
136b0b9a1
14456c10c
152d83bb6
hex1f89f30

33070896 has 80 divisors (see below), whose sum is σ = 97538400. Its totient is φ = 10720512.

The previous prime is 33070883. The next prime is 33070897. The reversal of 33070896 is 69807033.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33070896.

It is not an unprimeable number, because it can be changed into a prime (33070897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14950 + ... + 17018.

It is an arithmetic number, because the mean of its divisors is an integer number (1219230).

Almost surely, 233070896 is an apocalyptic number.

33070896 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 33070896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48769200).

33070896 is an abundant number, since it is smaller than the sum of its proper divisors (64467504).

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

33070896 is a wasteful number, since it uses less digits than its factorization.

33070896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 33070896 is about 5750.7300406122. The cubic root of 33070896 is about 320.9829670410.

The spelling of 33070896 in words is "thirty-three million, seventy thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2069 2664 3996 4138 5328 6207 7992 8276 12414 15984 16552 18621 24828 33104 37242 49656 55863 74484 76553 99312 111726 148968 153106 223452 229659 297936 306212 446904 459318 612424 688977 893808 918636 1224848 1377954 1837272 2066931 2755908 3674544 4133862 5511816 8267724 11023632 16535448 33070896