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40392864 = 253346751
BaseRepresentation
bin1001101000010…
…1100010100000
32211000011121000
42122011202200
540320032424
64001432000
71000222311
oct232054240
984004530
1040392864
1120889836
121163b600
1384a3605
145516608
15382d3c9
hex26858a0

40392864 has 48 divisors (see below), whose sum is σ = 117815040. Its totient is φ = 13464000.

The previous prime is 40392851. The next prime is 40392883. The reversal of 40392864 is 46829304.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 22512 + ... + 24239.

It is an arithmetic number, because the mean of its divisors is an integer number (2454480).

Almost surely, 240392864 is an apocalyptic number.

It is an amenable number.

40392864 is an abundant number, since it is smaller than the sum of its proper divisors (77422176).

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

40392864 is a wasteful number, since it uses less digits than its factorization.

40392864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46770 (or 46756 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 40392864 is about 6355.5380574740. The cubic root of 40392864 is about 343.1111902830. Note that the first 4 decimals are identical.

It can be divided in two parts, 4039 and 2864, that added together give a triangular number (6903 = T117).

The spelling of 40392864 in words is "forty million, three hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 46751 93502 140253 187004 280506 374008 420759 561012 748016 841518 1122024 1262277 1496032 1683036 2244048 2524554 3366072 4488096 5049108 6732144 10098216 13464288 20196432 40392864