Search a number
-
+
92417364 = 223213593347
BaseRepresentation
bin1011000001000…
…10110101010100
320102220021210100
411200202311110
5142124323424
613100454100
72201351244
oct540426524
9212807710
1092417364
1148192596
1226b4a330
13161ba340
14c3b9b24
1581a7dc9
hex5822d54

92417364 has 72 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 27945792.

The previous prime is 92417359. The next prime is 92417393. The reversal of 92417364 is 46371429.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25939 + ... + 29285.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 292417364 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 92417364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

92417364 is an abundant number, since it is smaller than the sum of its proper divisors (163503756).

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

92417364 is a wasteful number, since it uses less digits than its factorization.

92417364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3424 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 92417364 is about 9613.3950298529. The cubic root of 92417364 is about 452.1173697343.

The spelling of 92417364 in words is "ninety-two million, four hundred seventeen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 234 236 354 468 531 708 767 1062 1534 2124 2301 3068 3347 4602 6694 6903 9204 10041 13388 13806 20082 27612 30123 40164 43511 60246 87022 120492 130533 174044 197473 261066 391599 394946 522132 592419 783198 789892 1184838 1566396 1777257 2369676 2567149 3554514 5134298 7109028 7701447 10268596 15402894 23104341 30805788 46208682 92417364