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38923840 = 265121637
BaseRepresentation
bin1001010001111…
…0111001000000
32201020112110201
42110132321000
534431030330
63510134544
7651563404
oct224367100
981215421
1038923840
111aa7606a
1211051454
1380aaa77
145253104
15363ceca
hex251ee40

38923840 has 28 divisors (see below), whose sum is σ = 92688156. Its totient is φ = 15569408.

The previous prime is 38923831. The next prime is 38923847. The reversal of 38923840 is 4832983.

It can be written as a sum of positive squares in 2 ways, for example, as 4631104 + 34292736 = 2152^2 + 5856^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38923840.

It is not an unprimeable number, because it can be changed into a prime (38923847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60499 + ... + 61138.

Almost surely, 238923840 is an apocalyptic number.

It is an amenable number.

38923840 is an abundant number, since it is smaller than the sum of its proper divisors (53764316).

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

38923840 is a wasteful number, since it uses less digits than its factorization.

38923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121654 (or 121644 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 38923840 is about 6238.8973384726. The cubic root of 38923840 is about 338.9002528762.

The spelling of 38923840 in words is "thirty-eight million, nine hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 121637 243274 486548 608185 973096 1216370 1946192 2432740 3892384 4865480 7784768 9730960 19461920 38923840