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38014956 = 22327612473
BaseRepresentation
bin1001000100000…
…0111111101100
32122112100201100
42101000333230
534212434311
63434443100
7641056530
oct221007754
978470640
1038014956
111a505221
1210893490
137b50175
145097bc0
15350da56
hex2440fec

38014956 has 72 divisors (see below), whose sum is σ = 111666464. Its totient is φ = 10679040.

The previous prime is 38014943. The next prime is 38014973. The reversal of 38014956 is 65941083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38014956.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14136 + ... + 16608.

Almost surely, 238014956 is an apocalyptic number.

38014956 is a gapful number since it is divisible by the number (36) 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 38014956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55833232).

38014956 is an abundant number, since it is smaller than the sum of its proper divisors (73651508).

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

38014956 is a wasteful number, since it uses less digits than its factorization.

38014956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 38014956 is about 6165.6269754178. The cubic root of 38014956 is about 336.2416416527.

The spelling of 38014956 in words is "thirty-eight million, fourteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 2196 2473 2562 3843 4946 5124 7419 7686 9892 14838 15372 17311 22257 29676 34622 44514 51933 69244 89028 103866 150853 155799 207732 301706 311598 452559 603412 623196 905118 1055971 1357677 1810236 2111942 2715354 3167913 4223884 5430708 6335826 9503739 12671652 19007478 38014956