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40929460 = 225112131301
BaseRepresentation
bin1001110000100…
…0100010110100
32212000102122221
42130020202310
540434220320
64021132124
71004615605
oct234104264
985012587
1040929460
1121115a00
121185a044
138630920
145615dac
1538d73aa
hex27088b4

40929460 has 72 divisors (see below), whose sum is σ = 101821608. Its totient is φ = 13728000.

The previous prime is 40929451. The next prime is 40929481. The reversal of 40929460 is 6492904.

It can be written as a sum of positive squares in 4 ways, for example, as 2439844 + 38489616 = 1562^2 + 6204^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30810 + ... + 32110.

It is an arithmetic number, because the mean of its divisors is an integer number (1414189).

Almost surely, 240929460 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 40929460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50910804).

40929460 is an abundant number, since it is smaller than the sum of its proper divisors (60892148).

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

40929460 is a wasteful number, since it uses less digits than its factorization.

40929460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 40929460 is about 6397.6136175921. The cubic root of 40929460 is about 344.6238566617.

The spelling of 40929460 in words is "forty million, nine hundred twenty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1301 1430 1573 2420 2602 2860 3146 5204 6292 6505 7865 13010 14311 15730 16913 26020 28622 31460 33826 57244 67652 71555 84565 143110 157421 169130 186043 286220 314842 338260 372086 629684 744172 787105 930215 1574210 1860430 2046473 3148420 3720860 4092946 8185892 10232365 20464730 40929460