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38234496 = 273175857
BaseRepresentation
bin1001000111011…
…0100110000000
32122221111212110
42101312212000
534242000441
63443255320
7642662556
oct221664600
978844773
1038234496
111a645163
121097a540
137bc9081
145113bd6
153553b16
hex2476980

38234496 has 64 divisors (see below), whose sum is σ = 107552880. Its totient is φ = 11993088.

The previous prime is 38234491. The next prime is 38234543. The reversal of 38234496 is 69443283.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38234491) 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, 3600 + ... + 9456.

Almost surely, 238234496 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 38234496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53776440).

38234496 is an abundant number, since it is smaller than the sum of its proper divisors (69318384).

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

38234496 is a wasteful number, since it uses less digits than its factorization.

38234496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5879 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 38234496 is about 6183.4048872769. The cubic root of 38234496 is about 336.8876754685.

The spelling of 38234496 in words is "thirty-eight million, two hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 5857 6528 11714 17571 23428 35142 46856 70284 93712 99569 140568 187424 199138 281136 298707 374848 398276 562272 597414 749696 796552 1124544 1194828 1593104 2249088 2389656 3186208 4779312 6372416 9558624 12744832 19117248 38234496