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38653536 = 2535371107
BaseRepresentation
bin1001001101110…
…0111001100000
32200201210200110
42103130321200
534343403121
63500251320
7646356345
oct223347140
980653613
1038653536
111a900a79
1210b40b40
138014a1c
1451c27cc
1535d7d76
hex24dce60

38653536 has 96 divisors (see below), whose sum is σ = 105815808. Its totient is φ = 12346880.

The previous prime is 38653507. The next prime is 38653553. The reversal of 38653536 is 63535683.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 38653494 and 38653503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361195 + ... + 361301.

It is an arithmetic number, because the mean of its divisors is an integer number (1102248).

Almost surely, 238653536 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 38653536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52907904).

38653536 is an abundant number, since it is smaller than the sum of its proper divisors (67162272).

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

38653536 is a wasteful number, since it uses less digits than its factorization.

38653536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its digits is 194400, while the sum is 39.

The square root of 38653536 is about 6217.1967959845. The cubic root of 38653536 is about 338.1139398553.

The spelling of 38653536 in words is "thirty-eight million, six hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 71 96 106 107 142 159 212 213 214 284 318 321 424 426 428 568 636 642 848 852 856 1136 1272 1284 1696 1704 1712 2272 2544 2568 3408 3424 3763 5088 5136 5671 6816 7526 7597 10272 11289 11342 15052 15194 17013 22578 22684 22791 30104 30388 34026 45156 45368 45582 60208 60776 68052 90312 90736 91164 120416 121552 136104 180624 181472 182328 243104 272208 361248 364656 402641 544416 729312 805282 1207923 1610564 2415846 3221128 4831692 6442256 9663384 12884512 19326768 38653536