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81333632 = 272921911
BaseRepresentation
bin1001101100100…
…00110110000000
312200001011202202
410312100312000
5131310134012
612023132332
72005216202
oct466206600
9180034682
1081333632
1141a02186
12232a40a8
1313b09413
14ab32772
157218cc2
hex4d90d80

81333632 has 32 divisors (see below), whose sum is σ = 167626800. Its totient is φ = 39262720.

The previous prime is 81333611. The next prime is 81333643. The reversal of 81333632 is 23633318.

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

It is a super-2 number, since 2×813336322 = 13230319388622848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 81333595 and 81333604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7244 + ... + 14667.

Almost surely, 281333632 is an apocalyptic number.

It is an amenable number.

81333632 is an abundant number, since it is smaller than the sum of its proper divisors (86293168).

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

81333632 is a wasteful number, since it uses less digits than its factorization.

81333632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21954 (or 21942 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

The square root of 81333632 is about 9018.5160641871. The cubic root of 81333632 is about 433.2681074739.

The spelling of 81333632 in words is "eighty-one million, three hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 21911 43822 87644 175288 350576 635419 701152 1270838 1402304 2541676 2804608 5083352 10166704 20333408 40666816 81333632