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38442816 = 263322247
BaseRepresentation
bin1001001010100…
…1011101000000
32200100002122000
42102221131000
534320132231
63451544000
7644521116
oct222513500
980302560
1038442816
111a777725
1210a5b000
137c6cb39
145169ab6
1535956e6
hex24a9740

38442816 has 56 divisors (see below), whose sum is σ = 113019840. Its totient is φ = 12813696.

The previous prime is 38442787. The next prime is 38442823. The reversal of 38442816 is 61824483.

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

It is a nude number because it is divisible by every one of its digits.

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, 9396 + ... + 12851.

Almost surely, 238442816 is an apocalyptic number.

38442816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38442816 is an abundant number, since it is smaller than the sum of its proper divisors (74577024).

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

38442816 is a wasteful number, since it uses less digits than its factorization.

38442816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22268 (or 22252 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 38442816 is about 6200.2270926152. The cubic root of 38442816 is about 337.4984098691.

The spelling of 38442816 in words is "thirty-eight million, four hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 22247 44494 66741 88988 133482 177976 200223 266964 355952 400446 533928 600669 711904 800892 1067856 1201338 1423808 1601784 2135712 2402676 3203568 4271424 4805352 6407136 9610704 12814272 19221408 38442816