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41002956 = 22333137331
BaseRepresentation
bin1001110001101…
…0011111001100
32212011011111000
42130122133030
540444043311
64022500300
71005343101
oct234323714
985134430
1041002956
1121166145
1211894690
138658207
145634aa8
1538ee056
hex271a7cc

41002956 has 96 divisors (see below), whose sum is σ = 113039360. Its totient is φ = 12830400.

The previous prime is 41002943. The next prime is 41002981. The reversal of 41002956 is 65920014.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123711 + ... + 124041.

Almost surely, 241002956 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 41002956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56519680).

41002956 is an abundant number, since it is smaller than the sum of its proper divisors (72036404).

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

41002956 is a wasteful number, since it uses less digits than its factorization.

41002956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 41002956 is about 6403.3550580926. The cubic root of 41002956 is about 344.8300107742.

It can be divided in two parts, 4100 and 2956, that added together give a square (7056 = 842).

The spelling of 41002956 in words is "forty-one million, two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 37 54 62 74 93 108 111 124 148 186 222 279 331 333 372 444 558 662 666 837 993 999 1116 1147 1324 1332 1674 1986 1998 2294 2979 3348 3441 3972 3996 4588 5958 6882 8937 10261 10323 11916 12247 13764 17874 20522 20646 24494 30783 30969 35748 36741 41044 41292 48988 61566 61938 73482 92349 110223 123132 123876 146964 184698 220446 277047 330669 369396 379657 440892 554094 661338 759314 1108188 1138971 1322676 1518628 2277942 3416913 4555884 6833826 10250739 13667652 20501478 41002956