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74004864 = 2734392
BaseRepresentation
bin1000110100100…
…11100110000000
312011020211120220
410122103212000
5122421123424
611202103040
71556013423
oct432234600
9164224526
1074004864
1138856a4a
122094aa80
131244167b
149b859ba
15676c579
hex4693980

74004864 has 48 divisors (see below), whose sum is σ = 197024220. Its totient is φ = 24612096.

The previous prime is 74004817. The next prime is 74004883. The reversal of 74004864 is 46840047.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168357 + ... + 168795.

Almost surely, 274004864 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 74004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98512110).

74004864 is an abundant number, since it is smaller than the sum of its proper divisors (123019356).

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

74004864 is an frugal number, since it uses more digits than its factorization.

74004864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 74004864 is about 8602.6079766545. The cubic root of 74004864 is about 419.8428436967.

The spelling of 74004864 in words is "seventy-four million, four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 439 878 1317 1756 2634 3512 5268 7024 10536 14048 21072 28096 42144 56192 84288 168576 192721 385442 578163 770884 1156326 1541768 2312652 3083536 4625304 6167072 9250608 12334144 18501216 24668288 37002432 74004864