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41157864 = 233211157331
BaseRepresentation
bin1001110100000…
…0010011101000
32212110000222100
42131000103220
541014022424
64030053400
71006556526
oct235002350
985400870
1041157864
1121261570
121194a260
1386b0887
145675316
15392edc9
hex27404e8

41157864 has 96 divisors (see below), whose sum is σ = 122747040. Its totient is φ = 12355200.

The previous prime is 41157841. The next prime is 41157881. The reversal of 41157864 is 46875114.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124179 + ... + 124509.

It is an arithmetic number, because the mean of its divisors is an integer number (1278615).

Almost surely, 241157864 is an apocalyptic number.

41157864 is a gapful number since it is divisible by the number (44) 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 41157864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61373520).

41157864 is an abundant number, since it is smaller than the sum of its proper divisors (81589176).

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

41157864 is a wasteful number, since it uses less digits than its factorization.

41157864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 41157864 is about 6415.4395017021. The cubic root of 41157864 is about 345.2637177077.

The spelling of 41157864 in words is "forty-one million, one hundred fifty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 157 198 264 314 331 396 471 628 662 792 942 993 1256 1324 1413 1727 1884 1986 2648 2826 2979 3454 3641 3768 3972 5181 5652 5958 6908 7282 7944 10362 10923 11304 11916 13816 14564 15543 20724 21846 23832 29128 31086 32769 41448 43692 51967 62172 65538 87384 103934 124344 131076 155901 207868 262152 311802 415736 467703 571637 623604 935406 1143274 1247208 1714911 1870812 2286548 3429822 3741624 4573096 5144733 6859644 10289466 13719288 20578932 41157864