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76921728 = 2731319811
BaseRepresentation
bin1001001010110…
…11101110000000
312100202000202220
410211123232000
5124142443403
611344411040
71622552412
oct445335600
9170660686
1076921728
113a469484
1221916a80
1312c23220
14a3049b2
156b46953
hex495bb80

76921728 has 128 divisors (see below), whose sum is σ = 231907200. Its totient is φ = 22394880.

The previous prime is 76921723. The next prime is 76921769. The reversal of 76921728 is 82712967.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76921728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76921723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94443 + ... + 95253.

It is an arithmetic number, because the mean of its divisors is an integer number (1811775).

Almost surely, 276921728 is an apocalyptic number.

76921728 is a gapful number since it is divisible by the number (78) 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 76921728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115953600).

76921728 is an abundant number, since it is smaller than the sum of its proper divisors (154985472).

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

76921728 is a wasteful number, since it uses less digits than its factorization.

76921728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 848 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 76921728 is about 8770.5032922860. The cubic root of 76921728 is about 425.2878843045.

The spelling of 76921728 in words is "seventy-six million, nine hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 304 312 384 416 456 494 608 624 741 811 832 912 988 1216 1248 1482 1622 1664 1824 1976 2432 2433 2496 2964 3244 3648 3952 4866 4992 5928 6488 7296 7904 9732 10543 11856 12976 15409 15808 19464 21086 23712 25952 30818 31616 31629 38928 42172 46227 47424 51904 61636 63258 77856 84344 92454 94848 103808 123272 126516 155712 168688 184908 200317 246544 253032 311424 337376 369816 400634 493088 506064 600951 674752 739632 801268 986176 1012128 1201902 1349504 1479264 1602536 1972352 2024256 2403804 2958528 3205072 4048512 4807608 5917056 6410144 9615216 12820288 19230432 25640576 38460864 76921728