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40645962 = 234773491
BaseRepresentation
bin1001101100001…
…1010101001010
32211111000210000
42123003111022
540401132322
64011103430
71002325230
oct233032512
984430700
1040645962
1120a41a05
1211741b76
138561886
145580950
15387d3ac
hex26c354a

40645962 has 80 divisors (see below), whose sum is σ = 105728832. Its totient is φ = 11430720.

The previous prime is 40645951. The next prime is 40645967. The reversal of 40645962 is 26954604.

40645962 is a `hidden beast` number, since 4 + 0 + 64 + 596 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40645967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82537 + ... + 83027.

Almost surely, 240645962 is an apocalyptic number.

40645962 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40645962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52864416).

40645962 is an abundant number, since it is smaller than the sum of its proper divisors (65082870).

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

40645962 is a wasteful number, since it uses less digits than its factorization.

40645962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 40645962 is about 6375.4185744938. The cubic root of 40645962 is about 343.8263331529.

The spelling of 40645962 in words is "forty million, six hundred forty-five thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 81 126 146 162 189 219 378 438 491 511 567 657 982 1022 1134 1314 1473 1533 1971 2946 3066 3437 3942 4419 4599 5913 6874 8838 9198 10311 11826 13257 13797 20622 26514 27594 30933 35843 39771 41391 61866 71686 79542 82782 92799 107529 185598 215058 250901 278397 322587 501802 556794 645174 752703 967761 1505406 1935522 2258109 2903283 4516218 5806566 6774327 13548654 20322981 40645962