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76794048 = 2633192339
BaseRepresentation
bin1001001001111…
…00100011000000
312100111112122000
410210330203000
5124124402143
611341544000
71621511232
oct444744300
9170445560
1076794048
113a391561
1221875000
1312baa086
14a2b0252
156b1dbd3
hex493c8c0

76794048 has 112 divisors (see below), whose sum is σ = 237744000. Its totient is φ = 24240384.

The previous prime is 76794041. The next prime is 76794061. The reversal of 76794048 is 84049767.

It is a junction number, because it is equal to n+sod(n) for n = 76793994 and 76794012.

It is not an unprimeable number, because it can be changed into a prime (76794041) 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, 31663 + ... + 34001.

Almost surely, 276794048 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 76794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118872000).

76794048 is an abundant number, since it is smaller than the sum of its proper divisors (160949952).

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

76794048 is a wasteful number, since it uses less digits than its factorization.

76794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 76794048 is about 8763.2213255172. The cubic root of 76794048 is about 425.0524465841.

The spelling of 76794048 in words is "seventy-six million, seven hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2339 2736 3648 4104 4678 5472 7017 8208 9356 10944 14034 16416 18712 21051 28068 32832 37424 42102 44441 56136 63153 74848 84204 88882 112272 126306 133323 149696 168408 177764 224544 252612 266646 336816 355528 399969 449088 505224 533292 673632 711056 799938 1010448 1066584 1199907 1347264 1422112 1599876 2020896 2133168 2399814 2844224 3199752 4041792 4266336 4799628 6399504 8532672 9599256 12799008 19198512 25598016 38397024 76794048