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38467040 = 2552310453
BaseRepresentation
bin1001001010111…
…1010111100000
32200101022212012
42102233113200
534321421130
63452252052
7644651543
oct222572740
980338765
1038467040
111a793947
1210a71028
137c7ab81
14517485a
15359c995
hex24af5e0

38467040 has 48 divisors (see below), whose sum is σ = 94838688. Its totient is φ = 14716416.

The previous prime is 38467031. The next prime is 38467049. The reversal of 38467040 is 4076483.

It is a happy number.

38467040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38467031) and next prime (38467049).

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

It is a junction number, because it is equal to n+sod(n) for n = 38466988 and 38467006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38467049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1547 + ... + 8906.

It is an arithmetic number, because the mean of its divisors is an integer number (1975806).

Almost surely, 238467040 is an apocalyptic number.

It is an amenable number.

38467040 is an abundant number, since it is smaller than the sum of its proper divisors (56371648).

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

38467040 is a wasteful number, since it uses less digits than its factorization.

38467040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10491 (or 10483 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 38467040 is about 6202.1802618112. The cubic root of 38467040 is about 337.5692843584.

The spelling of 38467040 in words is "thirty-eight million, four hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 10453 20906 41812 52265 83624 104530 167248 209060 240419 334496 418120 480838 836240 961676 1202095 1672480 1923352 2404190 3846704 4808380 7693408 9616760 19233520 38467040