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38981136 = 24317233167
BaseRepresentation
bin1001010010110…
…0111000010000
32201100110001210
42110230320100
534434344021
63511300120
7652222425
oct224547020
981313053
1038981136
1120005117
121107a640
1380cab7c
145269d4c
15364ee76
hex252ce10

38981136 has 160 divisors (see below), whose sum is σ = 116563968. Its totient is φ = 11151360.

The previous prime is 38981101. The next prime is 38981143. The reversal of 38981136 is 63118983.

It is a junction number, because it is equal to n+sod(n) for n = 38981094 and 38981103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581775 + ... + 581841.

Almost surely, 238981136 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 38981136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58281984).

38981136 is an abundant number, since it is smaller than the sum of its proper divisors (77582832).

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

38981136 is a wasteful number, since it uses less digits than its factorization.

38981136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 38981136 is about 6243.4874869739. The cubic root of 38981136 is about 339.0664587205.

The spelling of 38981136 in words is "thirty-eight million, nine hundred eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 31 34 46 48 51 62 67 68 69 92 93 102 124 134 136 138 184 186 201 204 248 268 272 276 368 372 391 402 408 496 527 536 552 713 744 782 804 816 1054 1072 1104 1139 1173 1426 1488 1541 1564 1581 1608 2077 2108 2139 2278 2346 2852 3082 3128 3162 3216 3417 4154 4216 4278 4556 4623 4692 5704 6164 6231 6256 6324 6834 8308 8432 8556 9112 9246 9384 11408 12121 12328 12462 12648 13668 16616 17112 18224 18492 18768 24242 24656 24924 25296 26197 27336 33232 34224 35309 36363 36984 47771 48484 49848 52394 54672 70618 72726 73968 78591 95542 96968 99696 104788 105927 141236 143313 145452 157182 191084 193936 209576 211854 282472 286626 290904 314364 382168 419152 423708 564944 573252 581808 628728 764336 812107 847416 1146504 1257456 1624214 1694832 2293008 2436321 3248428 4872642 6496856 9745284 12993712 19490568 38981136