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4937088 = 273132343
BaseRepresentation
bin10010110101010110000000
3100021211102010
4102311112000
52230441323
6253452520
756651562
oct22652600
910254363
104937088
112872342
1217a1140
13103b270
14927332
15677c93
hex4b5580

4937088 has 128 divisors (see below), whose sum is σ = 15079680. Its totient is φ = 1419264.

The previous prime is 4937041. The next prime is 4937113. The reversal of 4937088 is 8807394.

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 (39).

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, 114795 + ... + 114837.

It is an arithmetic number, because the mean of its divisors is an integer number (117810).

Almost surely, 24937088 is an apocalyptic number.

4937088 is a gapful number since it is divisible by the number (48) 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 4937088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7539840).

4937088 is an abundant number, since it is smaller than the sum of its proper divisors (10142592).

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

4937088 is a wasteful number, since it uses less digits than its factorization.

4937088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 4937088 is about 2221.9558951518. The cubic root of 4937088 is about 170.2773787748.

The spelling of 4937088 in words is "four million, nine hundred thirty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 43 46 48 52 64 69 78 86 92 96 104 128 129 138 156 172 184 192 208 258 276 299 312 344 368 384 416 516 552 559 598 624 688 736 832 897 989 1032 1104 1118 1196 1248 1376 1472 1664 1677 1794 1978 2064 2208 2236 2392 2496 2752 2944 2967 3354 3588 3956 4128 4416 4472 4784 4992 5504 5934 6708 7176 7912 8256 8832 8944 9568 11868 12857 13416 14352 15824 16512 17888 19136 23736 25714 26832 28704 31648 35776 38272 38571 47472 51428 53664 57408 63296 71552 77142 94944 102856 107328 114816 126592 154284 189888 205712 214656 308568 379776 411424 617136 822848 1234272 1645696 2468544 4937088