Search a number
-
+
92642016 = 2536191559
BaseRepresentation
bin1011000010110…
…01101011100000
320110022200221210
411201121223200
5142204021031
613105350120
72203305225
oct541315340
9213280853
1092642016
1148326355
1227038340
131626867c
14c43794c
1581ee746
hex5859ae0

92642016 has 48 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 30811008.

The previous prime is 92642009. The next prime is 92642023. The reversal of 92642016 is 61024629.

It is an interprime number because it is at equal distance from previous prime (92642009) and next prime (92642023).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58645 + ... + 60203.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 292642016 is an apocalyptic number.

92642016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

92642016 is an abundant number, since it is smaller than the sum of its proper divisors (151092384).

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

92642016 is a wasteful number, since it uses less digits than its factorization.

92642016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 92642016 is about 9625.0722594690. The cubic root of 92642016 is about 452.4834152423.

The spelling of 92642016 in words is "ninety-two million, six hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 619 1238 1559 1857 2476 3118 3714 4677 4952 6236 7428 9354 9904 12472 14856 18708 19808 24944 29712 37416 49888 59424 74832 149664 965021 1930042 2895063 3860084 5790126 7720168 11580252 15440336 23160504 30880672 46321008 92642016