Search a number
-
+
92738496 = 263716803
BaseRepresentation
bin1011000011100…
…01001111000000
320110111121022010
411201301033000
5142220112441
613111412520
72204156424
oct541611700
9213447263
1092738496
1148391894
1227084140
13162a0566
14c460b84
15821d116
hex58713c0

92738496 has 56 divisors (see below), whose sum is σ = 248863104. Its totient is φ = 30472960.

The previous prime is 92738489. The next prime is 92738497. The reversal of 92738496 is 69483729.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92738497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10231 + ... + 17033.

It is an arithmetic number, because the mean of its divisors is an integer number (4443984).

Almost surely, 292738496 is an apocalyptic number.

92738496 is a gapful number since it is divisible by the number (96) 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 92738496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124431552).

92738496 is an abundant number, since it is smaller than the sum of its proper divisors (156124608).

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

92738496 is a wasteful number, since it uses less digits than its factorization.

92738496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889 (or 6879 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 92738496 is about 9630.0828656871. The cubic root of 92738496 is about 452.6404370625.

The spelling of 92738496 in words is "ninety-two million, seven hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 4544 6803 6816 13606 13632 20409 27212 40818 54424 81636 108848 163272 217696 326544 435392 483013 653088 966026 1306176 1449039 1932052 2898078 3864104 5796156 7728208 11592312 15456416 23184624 30912832 46369248 92738496