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38928736 = 2572113761
BaseRepresentation
bin1001010010000…
…0000101100000
32201020210012001
42110200011200
534431204421
63510213344
7651613600
oct224400540
981223161
1038928736
111aa79810
1211054254
1380b0072
145254c00
15363e691
hex2520160

38928736 has 144 divisors (see below), whose sum is σ = 101524752. Its totient is φ = 14515200.

The previous prime is 38928707. The next prime is 38928763. The reversal of 38928736 is 63782983.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638146 + ... + 638206.

It is an arithmetic number, because the mean of its divisors is an integer number (705033).

Almost surely, 238928736 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 38928736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50762376).

38928736 is an abundant number, since it is smaller than the sum of its proper divisors (62596016).

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

38928736 is a wasteful number, since it uses less digits than its factorization.

38928736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 38928736 is about 6239.2897031633. The cubic root of 38928736 is about 338.9144617011.

The spelling of 38928736 in words is "thirty-eight million, nine hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 49 56 61 74 77 88 98 112 122 148 154 176 196 224 244 259 296 308 352 392 407 427 488 518 539 592 616 671 784 814 854 976 1036 1078 1184 1232 1342 1568 1628 1708 1813 1952 2072 2156 2257 2464 2684 2849 2989 3256 3416 3626 4144 4312 4514 4697 5368 5698 5978 6512 6832 7252 8288 8624 9028 9394 10736 11396 11956 13024 13664 14504 15799 17248 18056 18788 19943 21472 22792 23912 24827 29008 31598 32879 36112 37576 39886 45584 47824 49654 58016 63196 65758 72224 75152 79772 91168 95648 99308 110593 126392 131516 150304 159544 173789 198616 221186 252784 263032 319088 347578 397232 442372 505568 526064 638176 695156 794464 884744 1052128 1216523 1390312 1769488 2433046 2780624 3538976 4866092 5561248 9732184 19464368 38928736