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42440976 = 2433175779
BaseRepresentation
bin1010000111100…
…1100100010000
32221212020002000
42201321210100
541331102401
64113354000
71023512424
oct241714420
987766060
1042440976
1121a58596
1212268900
138a3c906
1458cab84
153ad5186
hex2879910

42440976 has 80 divisors (see below), whose sum is σ = 129009600. Its totient is φ = 13312512.

The previous prime is 42440963. The next prime is 42440977. The reversal of 42440976 is 67904424.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42440976.

It is not an unprimeable number, because it can be changed into a prime (42440977) 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, 4455 + ... + 10233.

It is an arithmetic number, because the mean of its divisors is an integer number (1612620).

Almost surely, 242440976 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 42440976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64504800).

42440976 is an abundant number, since it is smaller than the sum of its proper divisors (86568624).

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

42440976 is a wasteful number, since it uses less digits than its factorization.

42440976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5813 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 42440976 is about 6514.6738982086. The cubic root of 42440976 is about 348.8149745977.

The spelling of 42440976 in words is "forty-two million, four hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 5779 7344 11558 17337 23116 34674 46232 52011 69348 92464 98243 104022 138696 156033 196486 208044 277392 294729 312066 392972 416088 589458 624132 785944 832176 884187 1178916 1248264 1571888 1768374 2357832 2496528 2652561 3536748 4715664 5305122 7073496 10610244 14146992 21220488 42440976