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38083552 = 2513432129
BaseRepresentation
bin1001000101000…
…1101111100000
32122122211210221
42101101233200
534222133202
63440132424
7641463523
oct221215740
978584727
1038083552
111a551811
1210907114
137b75460
1450b4bba
153524037
hex2451be0

38083552 has 48 divisors (see below), whose sum is σ = 82661040. Its totient is φ = 17160192.

The previous prime is 38083541. The next prime is 38083571. The reversal of 38083552 is 25538083.

It is a congruent number.

It is an unprimeable number.

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, 16824 + ... + 18952.

It is an arithmetic number, because the mean of its divisors is an integer number (1722105).

Almost surely, 238083552 is an apocalyptic number.

38083552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38083552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41330520).

38083552 is an abundant number, since it is smaller than the sum of its proper divisors (44577488).

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

38083552 is a wasteful number, since it uses less digits than its factorization.

38083552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 38083552 is about 6171.1872439588. The cubic root of 38083552 is about 336.4437636145.

The spelling of 38083552 in words is "thirty-eight million, eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 688 1118 1376 2129 2236 4258 4472 8516 8944 17032 17888 27677 34064 55354 68128 91547 110708 183094 221416 366188 442832 732376 885664 1190111 1464752 2380222 2929504 4760444 9520888 19041776 38083552