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41496960 = 273521613
BaseRepresentation
bin1001111001001…
…1000110000000
32220002021010110
42132103012000
541110400320
64041231320
71012501251
oct236230600
986067113
1041496960
112147330a
1211a92540
13879c01b
145722b28
15399a5e0
hex2793180

41496960 has 64 divisors (see below), whose sum is σ = 132277680. Its totient is φ = 11065344.

The previous prime is 41496937. The next prime is 41496967. The reversal of 41496960 is 6969414.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41496967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8887 + ... + 12726.

Almost surely, 241496960 is an apocalyptic number.

41496960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41496960 is an abundant number, since it is smaller than the sum of its proper divisors (90780720).

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

41496960 is a wasteful number, since it uses less digits than its factorization.

41496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21635 (or 21623 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 41496960 is about 6441.8134092816. The cubic root of 41496960 is about 346.2093245932.

The spelling of 41496960 in words is "forty-one million, four hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 21613 43226 64839 86452 108065 129678 172904 216130 259356 324195 345808 432260 518712 648390 691616 864520 1037424 1296780 1383232 1729040 2074848 2593560 2766464 3458080 4149696 5187120 6916160 8299392 10374240 13832320 20748480 41496960