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38500032 = 263239839
BaseRepresentation
bin1001001011011…
…1011011000000
32200110000010010
42102313123000
534324000112
63453104520
7645146664
oct222673300
980400103
1038500032
111a80670a
1210a88140
137c8cbac
1451828a4
1535a763c
hex24b76c0

38500032 has 56 divisors (see below), whose sum is σ = 102412800. Its totient is φ = 12764416.

The previous prime is 38500001. The next prime is 38500039. The reversal of 38500032 is 23000583.

It is a junction number, because it is equal to n+sod(n) for n = 38499981 and 38500008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38500039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45469 + ... + 46307.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 238500032 is an apocalyptic number.

38500032 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 38500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51206400).

38500032 is an abundant number, since it is smaller than the sum of its proper divisors (63912768).

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

38500032 is a wasteful number, since it uses less digits than its factorization.

38500032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 38500032 is about 6204.8394016284. The cubic root of 38500032 is about 337.6657643871.

The spelling of 38500032 in words is "thirty-eight million, five hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 239 478 717 839 956 1434 1678 1912 2517 2868 3356 3824 5034 5736 6712 7648 10068 11472 13424 15296 20136 22944 26848 40272 45888 53696 80544 161088 200521 401042 601563 802084 1203126 1604168 2406252 3208336 4812504 6416672 9625008 12833344 19250016 38500032