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38214880 = 2551121713
BaseRepresentation
bin1001000111000…
…1110011100000
32122220111221221
42101301303200
534240334010
63443024424
7642551434
oct221616340
978814857
1038214880
111a631450
121096b114
137bc0172
14510a9c4
15354cdda
hex2471ce0

38214880 has 48 divisors (see below), whose sum is σ = 98494704. Its totient is φ = 13895680.

The previous prime is 38214877. The next prime is 38214881. The reversal of 38214880 is 8841283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38214881) 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 7 ways as a sum of consecutive naturals, for example, 9097 + ... + 12616.

It is an arithmetic number, because the mean of its divisors is an integer number (2051973).

Almost surely, 238214880 is an apocalyptic number.

It is an amenable number.

38214880 is an abundant number, since it is smaller than the sum of its proper divisors (60279824).

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

38214880 is a wasteful number, since it uses less digits than its factorization.

38214880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21739 (or 21731 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 38214880 is about 6181.8185026738. The cubic root of 38214880 is about 336.8300528171.

The spelling of 38214880 in words is "thirty-eight million, two hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 21713 43426 86852 108565 173704 217130 238843 347408 434260 477686 694816 868520 955372 1194215 1737040 1910744 2388430 3474080 3821488 4776860 7642976 9553720 19107440 38214880