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40621568 = 291317359
BaseRepresentation
bin1001101011110…
…1011000000000
32211102210022112
42122331120000
540344342233
64010354452
71002164141
oct232753000
984383275
1040621568
1120a25649
121172ba28
138553740
145575ac8
153876048
hex26bd600

40621568 has 80 divisors (see below), whose sum is σ = 92806560. Its totient is φ = 17596416.

The previous prime is 40621549. The next prime is 40621571. The reversal of 40621568 is 86512604.

It is a super-2 number, since 2×406215682 = 3300223573557248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 112973 + ... + 113331.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 240621568 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 40621568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46403280).

40621568 is an abundant number, since it is smaller than the sum of its proper divisors (52184992).

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

40621568 is a wasteful number, since it uses less digits than its factorization.

40621568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 40621568 is about 6373.5051580743. The cubic root of 40621568 is about 343.7575360111.

The spelling of 40621568 in words is "forty million, six hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 359 416 442 512 544 718 832 884 1088 1436 1664 1768 2176 2872 3328 3536 4352 4667 5744 6103 6656 7072 8704 9334 11488 12206 14144 18668 22976 24412 28288 37336 45952 48824 56576 74672 79339 91904 97648 113152 149344 158678 183808 195296 298688 317356 390592 597376 634712 781184 1194752 1269424 1562368 2389504 2538848 3124736 5077696 10155392 20310784 40621568