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92139472 = 24233767101
BaseRepresentation
bin1010111110111…
…10111111010000
320102101011121001
411133132333100
5142041430342
613050511344
72166113125
oct537367720
9212334531
1092139472
1148012827
1226a35554
13161209c9
14c34674c
1581508b7
hex57defd0

92139472 has 80 divisors (see below), whose sum is σ = 196094592. Its totient is φ = 41817600.

The previous prime is 92139457. The next prime is 92139479. The reversal of 92139472 is 27493129.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92139479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 912222 + ... + 912322.

Almost surely, 292139472 is an apocalyptic number.

92139472 is a gapful number since it is divisible by the number (92) 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 92139472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98047296).

92139472 is an abundant number, since it is smaller than the sum of its proper divisors (103955120).

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

92139472 is a wasteful number, since it uses less digits than its factorization.

92139472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 92139472 is about 9598.9307737893. The cubic root of 92139472 is about 451.6637538940.

The spelling of 92139472 in words is "ninety-two million, one hundred thirty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 37 46 67 74 92 101 134 148 184 202 268 296 368 404 536 592 808 851 1072 1541 1616 1702 2323 2479 3082 3404 3737 4646 4958 6164 6767 6808 7474 9292 9916 12328 13534 13616 14948 18584 19832 24656 27068 29896 37168 39664 54136 57017 59792 85951 108272 114034 155641 171902 228068 250379 311282 343804 456136 500758 622564 687608 912272 1001516 1245128 1375216 2003032 2490256 4006064 5758717 11517434 23034868 46069736 92139472