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38912796 = 223213176773
BaseRepresentation
bin1001010001110…
…0001100011100
32201012222022200
42110130030130
534430202141
63510011500
7651516246
oct224341434
981188280
1038912796
111aa6883a
1211046b90
1380a5a30
14524d096
153639ab6
hex251c31c

38912796 has 144 divisors (see below), whose sum is σ = 115393824. Its totient is φ = 10948608.

The previous prime is 38912791. The next prime is 38912821. The reversal of 38912796 is 69721983.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38912791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533016 + ... + 533088.

It is an arithmetic number, because the mean of its divisors is an integer number (801346).

Almost surely, 238912796 is an apocalyptic number.

38912796 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 38912796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57696912).

38912796 is an abundant number, since it is smaller than the sum of its proper divisors (76481028).

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

38912796 is a wasteful number, since it uses less digits than its factorization.

38912796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 38912796 is about 6238.0121833802. The cubic root of 38912796 is about 338.8681973850.

The spelling of 38912796 in words is "thirty-eight million, nine hundred twelve thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 67 68 73 78 102 117 134 146 153 156 201 204 219 221 234 268 292 306 402 438 442 468 603 612 657 663 804 871 876 884 949 1139 1206 1241 1314 1326 1742 1898 1989 2278 2412 2482 2613 2628 2652 2847 3417 3484 3723 3796 3978 4556 4891 4964 5226 5694 6834 7446 7839 7956 8541 9782 10251 10452 11169 11388 13668 14673 14807 14892 15678 16133 17082 19564 20502 22338 29346 29614 31356 32266 34164 41004 44019 44421 44676 48399 58692 59228 63583 64532 83147 88038 88842 96798 127166 133263 145197 166294 176076 177684 190749 193596 249441 254332 266526 290394 332588 381498 498882 533052 572247 580788 748323 762996 997764 1080911 1144494 1496646 2161822 2288988 2993292 3242733 4323644 6485466 9728199 12970932 19456398 38912796