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38842920 = 23325107897
BaseRepresentation
bin1001010000101…
…1001000101000
32201002102110200
42110023020220
534420433140
63504312200
7651105444
oct224131050
981072420
1038842920
111aa20296
1211012660
13807cc9c
145231824
153624030
hex250b228

38842920 has 48 divisors (see below), whose sum is σ = 126240660. Its totient is φ = 10358016.

The previous prime is 38842891. The next prime is 38842931. The reversal of 38842920 is 2924883.

It can be written as a sum of positive squares in 2 ways, for example, as 38415204 + 427716 = 6198^2 + 654^2 .

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 11 ways as a sum of consecutive naturals, for example, 53589 + ... + 54308.

Almost surely, 238842920 is an apocalyptic number.

38842920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38842920 is an abundant number, since it is smaller than the sum of its proper divisors (87397740).

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

38842920 is a wasteful number, since it uses less digits than its factorization.

38842920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107914 (or 107907 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38842920 is about 6232.4088440987. The cubic root of 38842920 is about 338.6652397967.

The spelling of 38842920 in words is "thirty-eight million, eight hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 107897 215794 323691 431588 539485 647382 863176 971073 1078970 1294764 1618455 1942146 2157940 2589528 3236910 3884292 4315880 4855365 6473820 7768584 9710730 12947640 19421460 38842920