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40964976 = 24321379277
BaseRepresentation
bin1001110001000…
…1001101110000
32212002020101100
42130101031300
540441334401
64022004400
71005124263
oct234211560
985066340
1040964976
112113a658
1211876700
138643b40
145624cda
1538e2b86
hex2711370

40964976 has 120 divisors (see below), whose sum is σ = 125478080. Its totient is φ = 12400128.

The previous prime is 40964971. The next prime is 40964983. The reversal of 40964976 is 67946904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40964971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147750 + ... + 148026.

Almost surely, 240964976 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 40964976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62739040).

40964976 is an abundant number, since it is smaller than the sum of its proper divisors (84513104).

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

40964976 is a wasteful number, since it uses less digits than its factorization.

40964976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 40964976 is about 6400.3887381940. The cubic root of 40964976 is about 344.7235087813.

The spelling of 40964976 in words is "forty million, nine hundred sixty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 79 104 117 144 156 158 208 234 237 277 312 316 468 474 554 624 632 711 831 936 948 1027 1108 1264 1422 1662 1872 1896 2054 2216 2493 2844 3081 3324 3601 3792 4108 4432 4986 5688 6162 6648 7202 8216 9243 9972 10803 11376 12324 13296 14404 16432 18486 19944 21606 21883 24648 28808 32409 36972 39888 43212 43766 49296 57616 64818 65649 73944 86424 87532 129636 131298 147888 172848 175064 196947 259272 262596 284479 350128 393894 518544 525192 568958 787788 853437 1050384 1137916 1575576 1706874 2275832 2560311 3151152 3413748 4551664 5120622 6827496 10241244 13654992 20482488 40964976