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38963840 = 275232647
BaseRepresentation
bin1001010010100…
…0101010000000
32201022120100012
42110220222000
534433320330
63511044052
7652121126
oct224505200
981276305
1038963840
111aaa3123
1211070628
1380c3036
145263916
153649c95
hex2528a80

38963840 has 64 divisors (see below), whose sum is σ = 97234560. Its totient is φ = 14902272.

The previous prime is 38963831. The next prime is 38963879. The reversal of 38963840 is 4836983.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13397 + ... + 16043.

It is an arithmetic number, because the mean of its divisors is an integer number (1519290).

Almost surely, 238963840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48617280).

38963840 is an abundant number, since it is smaller than the sum of its proper divisors (58270720).

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

38963840 is a wasteful number, since it uses less digits than its factorization.

38963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 38963840 is about 6242.1022099930. The cubic root of 38963840 is about 339.0163031697.

The spelling of 38963840 in words is "thirty-eight million, nine hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2647 2944 3680 5294 7360 10588 13235 14720 21176 26470 42352 52940 60881 84704 105880 121762 169408 211760 243524 304405 338816 423520 487048 608810 847040 974096 1217620 1694080 1948192 2435240 3896384 4870480 7792768 9740960 19481920 38963840