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38994816 = 273789163
BaseRepresentation
bin1001010011000…
…0001110000000
32201101010211110
42110300032000
534440313231
63511443320
7652310340
oct224601600
981333743
1038994816
1120014423
1211086540
138104173
145270d20
153654046
hex2530380

38994816 has 128 divisors (see below), whose sum is σ = 120441600. Its totient is φ = 10948608.

The previous prime is 38994797. The next prime is 38994847. The reversal of 38994816 is 61849983.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 239151 + ... + 239313.

It is an arithmetic number, because the mean of its divisors is an integer number (940950).

Almost surely, 238994816 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 38994816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60220800).

38994816 is an abundant number, since it is smaller than the sum of its proper divisors (81446784).

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

38994816 is a wasteful number, since it uses less digits than its factorization.

38994816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 38994816 is about 6244.5829324303. The cubic root of 38994816 is about 339.1061179603.

The spelling of 38994816 in words is "thirty-eight million, nine hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 89 96 112 128 163 168 178 192 224 267 326 336 356 384 448 489 534 623 652 672 712 896 978 1068 1141 1246 1304 1344 1424 1869 1956 2136 2282 2492 2608 2688 2848 3423 3738 3912 4272 4564 4984 5216 5696 6846 7476 7824 8544 9128 9968 10432 11392 13692 14507 14952 15648 17088 18256 19936 20864 27384 29014 29904 31296 34176 36512 39872 43521 54768 58028 59808 62592 73024 79744 87042 101549 109536 116056 119616 146048 174084 203098 219072 232112 239232 304647 348168 406196 438144 464224 609294 696336 812392 928448 1218588 1392672 1624784 1856896 2437176 2785344 3249568 4874352 5570688 6499136 9748704 12998272 19497408 38994816