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40066464 = 253487857
BaseRepresentation
bin1001100011010…
…1110110100000
32210101120212010
42120311312200
540224111324
63550432520
7664362564
oct230656640
983346763
1040066464
1120686589
1211502740
1383bab89
14546d6a4
1537b6829
hex2635da0

40066464 has 48 divisors (see below), whose sum is σ = 105513408. Its totient is φ = 13312512.

The previous prime is 40066457. The next prime is 40066489. The reversal of 40066464 is 46466004.

40066464 = T137 + T138 + ... + T623.

It is a tau number, because it is divible by the number of its divisors (48).

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, 46324 + ... + 47180.

It is an arithmetic number, because the mean of its divisors is an integer number (2198196).

Almost surely, 240066464 is an apocalyptic number.

It is an amenable number.

40066464 is an abundant number, since it is smaller than the sum of its proper divisors (65446944).

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

40066464 is a wasteful number, since it uses less digits than its factorization.

40066464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 40066464 is about 6329.8075800138. The cubic root of 40066464 is about 342.1845042543.

The spelling of 40066464 in words is "forty million, sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 487 857 974 1461 1714 1948 2571 2922 3428 3896 5142 5844 6856 7792 10284 11688 13712 15584 20568 23376 27424 41136 46752 82272 417359 834718 1252077 1669436 2504154 3338872 5008308 6677744 10016616 13355488 20033232 40066464