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92049216 = 263768489
BaseRepresentation
bin1010111110010…
…00111101000000
320102012120210020
411133020331000
5142031033331
613044533440
72165256030
oct537107500
9212176706
1092049216
1147a60a36
12269b1280
13160bb8bc
14c3218c0
158133c96
hex57c8f40

92049216 has 56 divisors (see below), whose sum is σ = 278343360. Its totient is φ = 26299392.

The previous prime is 92049193. The next prime is 92049233. The reversal of 92049216 is 61294029.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32901 + ... + 35588.

Almost surely, 292049216 is an apocalyptic number.

92049216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

92049216 is an abundant number, since it is smaller than the sum of its proper divisors (186294144).

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

92049216 is a wasteful number, since it uses less digits than its factorization.

92049216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68511 (or 68501 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 92049216 is about 9594.2282649518. The cubic root of 92049216 is about 451.5162286955.

The spelling of 92049216 in words is "ninety-two million, forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 68489 136978 205467 273956 410934 479423 547912 821868 958846 1095824 1438269 1643736 1917692 2191648 2876538 3287472 3835384 4383296 5753076 6574944 7670768 11506152 13149888 15341536 23012304 30683072 46024608 92049216