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38728512 = 263271947
BaseRepresentation
bin1001001110111…
…1001101000000
32200212121112100
42103233031000
534403303022
63502030400
7650121054
oct223571500
980777470
1038728512
111a952339
1210b78400
13803cba4
145201c64
1536001ac
hex24ef340

38728512 has 84 divisors (see below), whose sum is σ = 112690656. Its totient is φ = 12714240.

The previous prime is 38728507. The next prime is 38728513. The reversal of 38728512 is 21582783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38728513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40423 + ... + 41369.

Almost surely, 238728512 is an apocalyptic number.

38728512 is a gapful number since it is divisible by the number (32) 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 38728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56345328).

38728512 is an abundant number, since it is smaller than the sum of its proper divisors (73962144).

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

38728512 is a wasteful number, since it uses less digits than its factorization.

38728512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1023 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 38728512 is about 6223.2236019606. The cubic root of 38728512 is about 338.3324110943.

The spelling of 38728512 in words is "thirty-eight million, seven hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 947 1136 1278 1704 1894 2272 2556 2841 3408 3788 4544 5112 5682 6816 7576 8523 10224 11364 13632 15152 17046 20448 22728 30304 34092 40896 45456 60608 67237 68184 90912 134474 136368 181824 201711 268948 272736 403422 537896 545472 605133 806844 1075792 1210266 1613688 2151584 2420532 3227376 4303168 4841064 6454752 9682128 12909504 19364256 38728512