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41310972 = 223631457
BaseRepresentation
bin1001110110010…
…1101011111100
32212201211000000
42131211223330
541033422342
64033234300
71011065103
oct235455374
985654000
1041310972
11213565aa
1211a02990
138735481
1456b503a
15396044c
hex2765afc

41310972 has 84 divisors (see below), whose sum is σ = 112133056. Its totient is φ = 13296960.

The previous prime is 41310889. The next prime is 41310977. The reversal of 41310972 is 27901314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41310977) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 90168 + ... + 90624.

Almost surely, 241310972 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 41310972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56066528).

41310972 is an abundant number, since it is smaller than the sum of its proper divisors (70822084).

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

41310972 is a wasteful number, since it uses less digits than its factorization.

41310972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 41310972 is about 6427.3612003683. The cubic root of 41310972 is about 345.6913170152.

The spelling of 41310972 in words is "forty-one million, three hundred ten thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 457 486 558 729 837 914 972 1116 1371 1458 1674 1828 2511 2742 2916 3348 4113 5022 5484 7533 8226 10044 12339 14167 15066 16452 22599 24678 28334 30132 37017 42501 45198 49356 56668 74034 85002 90396 111051 127503 148068 170004 222102 255006 333153 382509 444204 510012 666306 765018 1147527 1332612 1530036 2295054 3442581 4590108 6885162 10327743 13770324 20655486 41310972