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40644520 = 2357289233
BaseRepresentation
bin1001101100001…
…0111110101000
32211110221210121
42123002332220
540401111040
64011053024
71002321100
oct233027650
984427717
1040644520
1120a40914
1211741174
138561017
145580200
15387cc4a
hex26c2fa8

40644520 has 96 divisors (see below), whose sum is σ = 108037800. Its totient is φ = 13719552.

The previous prime is 40644517. The next prime is 40644529. The reversal of 40644520 is 2544604.

40644520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20196036 + 20448484 = 4494^2 + 4522^2 .

It is not an unprimeable number, because it can be changed into a prime (40644529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174324 + ... + 174556.

Almost surely, 240644520 is an apocalyptic number.

40644520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40644520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54018900).

40644520 is an abundant number, since it is smaller than the sum of its proper divisors (67393280).

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

40644520 is a wasteful number, since it uses less digits than its factorization.

40644520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 40644520 is about 6375.3054828769. The cubic root of 40644520 is about 343.8222671202.

The spelling of 40644520 in words is "forty million, six hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 89 98 140 178 196 233 245 280 356 392 445 466 490 623 712 890 932 980 1165 1246 1631 1780 1864 1960 2330 2492 3115 3262 3560 4361 4660 4984 6230 6524 8155 8722 9320 11417 12460 13048 16310 17444 20737 21805 22834 24920 32620 34888 41474 43610 45668 57085 65240 82948 87220 91336 103685 114170 145159 165896 174440 207370 228340 290318 414740 456680 580636 725795 829480 1016113 1161272 1451590 2032226 2903180 4064452 5080565 5806360 8128904 10161130 20322260 40644520