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38668448 = 257313271
BaseRepresentation
bin1001001110000…
…0100010100000
32200202120010202
42103200202200
534344342243
63500444332
7646451000
oct223404240
980676122
1038668448
111a9111a5
1210b496a8
13801b750
1451c8000
1535dc4b8
hex24e08a0

38668448 has 96 divisors (see below), whose sum is σ = 95961600. Its totient is φ = 15240960.

The previous prime is 38668433. The next prime is 38668457. The reversal of 38668448 is 84486683.

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, 142553 + ... + 142823.

It is an arithmetic number, because the mean of its divisors is an integer number (999600).

Almost surely, 238668448 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 38668448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47980800).

38668448 is an abundant number, since it is smaller than the sum of its proper divisors (57293152).

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

38668448 is a wasteful number, since it uses less digits than its factorization.

38668448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its digits is 884736, while the sum is 47.

The square root of 38668448 is about 6218.3959346442. The cubic root of 38668448 is about 338.1574141603.

The spelling of 38668448 in words is "thirty-eight million, six hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 271 343 364 392 416 542 637 686 728 784 1084 1274 1372 1456 1568 1897 2168 2548 2744 2912 3523 3794 4336 4459 5096 5488 7046 7588 8672 8918 10192 10976 13279 14092 15176 17836 20384 24661 26558 28184 30352 35672 49322 53116 56368 60704 71344 92953 98644 106232 112736 142688 172627 185906 197288 212464 345254 371812 394576 424928 690508 743624 789152 1208389 1381016 1487248 2416778 2762032 2974496 4833556 5524064 9667112 19334224 38668448