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92340072 = 233211313761
BaseRepresentation
bin1011000000011…
…11111101101000
320102202100202200
411200033331220
5142114340242
613055100200
72200610016
oct540177550
9212670680
1092340072
114813a510
1226b11660
13161910c6
14c3998b6
15819004c
hex580ff68

92340072 has 96 divisors (see below), whose sum is σ = 281698560. Its totient is φ = 27072000.

The previous prime is 92340047. The next prime is 92340091. The reversal of 92340072 is 27004329.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22672 + ... + 26432.

It is an arithmetic number, because the mean of its divisors is an integer number (2934360).

Almost surely, 292340072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92340072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140849280).

92340072 is an abundant number, since it is smaller than the sum of its proper divisors (189358488).

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

92340072 is a wasteful number, since it uses less digits than its factorization.

92340072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 92340072 is about 9609.3741731707. The cubic root of 92340072 is about 451.9912938517.

The spelling of 92340072 in words is "ninety-two million, three hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 3761 4092 6138 7522 8184 11283 12276 15044 22566 24552 30088 33849 41371 45132 67698 82742 90264 116591 124113 135396 165484 233182 248226 270792 330968 349773 372339 466364 496452 699546 744678 932728 992904 1049319 1282501 1399092 1489356 2098638 2565002 2798184 2978712 3847503 4197276 5130004 7695006 8394552 10260008 11542509 15390012 23085018 30780024 46170036 92340072