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40928640 = 273521317
BaseRepresentation
bin1001110000100…
…0010110000000
32212000101112120
42130020112000
540434204030
64021124240
71004613324
oct234102600
985011476
1040928640
1121115325
1211859680
13863043c
145615984
1538d7010
hex2708580

40928640 has 64 divisors (see below), whose sum is σ = 130466160. Its totient is φ = 10913792.

The previous prime is 40928633. The next prime is 40928651. The reversal of 40928640 is 4682904.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8739 + ... + 12578.

Almost surely, 240928640 is an apocalyptic number.

40928640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40928640 is an abundant number, since it is smaller than the sum of its proper divisors (89537520).

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

40928640 is a wasteful number, since it uses less digits than its factorization.

40928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21339 (or 21327 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 40928640 is about 6397.5495308751. The cubic root of 40928640 is about 344.6215551943.

The spelling of 40928640 in words is "forty million, nine hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 21317 42634 63951 85268 106585 127902 170536 213170 255804 319755 341072 426340 511608 639510 682144 852680 1023216 1279020 1364288 1705360 2046432 2558040 2728576 3410720 4092864 5116080 6821440 8185728 10232160 13642880 20464320 40928640