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74983056 = 24317432137
BaseRepresentation
bin1000111100000…
…10011010010000
312020002112102020
410132002122100
5123143424211
611235051440
71600226331
oct436023220
9166075366
1074983056
1139364975
1221140b80
13126c4995
149d5c288
1568b2306
hex4782690

74983056 has 80 divisors (see below), whose sum is σ = 209968704. Its totient is φ = 22966272.

The previous prime is 74982989. The next prime is 74983109. The reversal of 74983056 is 65038947.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 74982999 and 74983017.

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, 34020 + ... + 36156.

Almost surely, 274983056 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 74983056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104984352).

74983056 is an abundant number, since it is smaller than the sum of its proper divisors (134985648).

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

74983056 is a wasteful number, since it uses less digits than its factorization.

74983056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 74983056 is about 8659.2757202898. The cubic root of 74983056 is about 421.6845722077.

The spelling of 74983056 in words is "seventy-four million, nine hundred eighty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 129 136 172 204 258 272 344 408 516 688 731 816 1032 1462 2064 2137 2193 2924 4274 4386 5848 6411 8548 8772 11696 12822 17096 17544 25644 34192 35088 36329 51288 72658 91891 102576 108987 145316 183782 217974 275673 290632 367564 435948 551346 581264 735128 871896 1102692 1470256 1562147 1743792 2205384 3124294 4410768 4686441 6248588 9372882 12497176 18745764 24994352 37491528 74983056