Search a number
-
+
92201424 = 2437594651
BaseRepresentation
bin1010111111011…
…10000111010000
320102111022120120
411133232013100
5142100421144
613052110240
72166461550
oct537560720
9212438516
1092201424
1148055327
1226a65380
1316142c73
14c361160
158163e19
hex57ee1d0

92201424 has 80 divisors (see below), whose sum is σ = 276887040. Its totient is φ = 25891200.

The previous prime is 92201423. The next prime is 92201429. The reversal of 92201424 is 42410229.

It is a super-2 number, since 2×922014242 = 17002205175255552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 92201394 and 92201403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92201423) 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, 17499 + ... + 22149.

It is an arithmetic number, because the mean of its divisors is an integer number (3461088).

Almost surely, 292201424 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 92201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138443520).

92201424 is an abundant number, since it is smaller than the sum of its proper divisors (184685616).

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

92201424 is a wasteful number, since it uses less digits than its factorization.

92201424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 92201424 is about 9602.1572576166. The cubic root of 92201424 is about 451.7649599002.

The spelling of 92201424 in words is "ninety-two million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4651 4956 6608 9302 9912 13953 18604 19824 27906 32557 37208 55812 65114 74416 97671 111624 130228 195342 223248 260456 274409 390684 520912 548818 781368 823227 1097636 1562736 1646454 1920863 2195272 3292908 3841726 4390544 5762589 6585816 7683452 11525178 13171632 15366904 23050356 30733808 46100712 92201424