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74857104 = 2432721032
BaseRepresentation
bin1000111011000…
…11101010010000
312012212010122100
410131203222100
5123130411404
611232240400
71566163200
oct435435220
9165763570
1074857104
1139289283
12210a0100
131267c55a
149d28400
156889d39
hex4763a90

74857104 has 135 divisors (see below), whose sum is σ = 246088323. Its totient is φ = 21180096.

The previous prime is 74857087. The next prime is 74857121. The reversal of 74857104 is 40175847.

The square root of 74857104 is 8652.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (74857087) and next prime (74857121).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 726717 + ... + 726819.

Almost surely, 274857104 is an apocalyptic number.

74857104 is the 8652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74857104

74857104 is an abundant number, since it is smaller than the sum of its proper divisors (171231219).

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

74857104 is a wasteful number, since it uses less digits than its factorization.

74857104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The cubic root of 74857104 is about 421.4483331426.

Multiplying 74857104 by its sum of digits (36), we get a square (2694855744 = 519122).

74857104 divided by its sum of digits (36) gives a square (2079364 = 14422).

The spelling of 74857104 in words is "seventy-four million, eight hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 103 112 126 144 147 168 196 206 252 294 309 336 392 412 441 504 588 618 721 784 824 882 927 1008 1176 1236 1442 1648 1764 1854 2163 2352 2472 2884 3528 3708 4326 4944 5047 5768 6489 7056 7416 8652 10094 10609 11536 12978 14832 15141 17304 20188 21218 25956 30282 31827 34608 40376 42436 45423 51912 60564 63654 74263 80752 84872 90846 95481 103824 121128 127308 148526 169744 181692 190962 222789 242256 254616 297052 363384 381924 445578 509232 519841 594104 668367 726768 763848 891156 1039682 1188208 1336734 1527696 1559523 1782312 2079364 2673468 3119046 3564624 4158728 4678569 5346936 6238092 8317456 9357138 10693872 12476184 18714276 24952368 37428552 74857104