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74993904 = 2433672591
BaseRepresentation
bin1000111100001…
…01000011110000
312020010002022000
410132011003300
5123144301104
611235214000
71600303056
oct436050360
9166102260
1074993904
1139372037
1221147300
13126c98bb
149d621d6
1568b5639
hex47850f0

74993904 has 80 divisors (see below), whose sum is σ = 218557440. Its totient is φ = 24615360.

The previous prime is 74993899. The next prime is 74993917. The reversal of 74993904 is 40939947.

It is a super-2 number, since 2×749939042 = 11248171274322432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74993904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27649 + ... + 30239.

It is an arithmetic number, because the mean of its divisors is an integer number (2731968).

Almost surely, 274993904 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 74993904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278720).

74993904 is an abundant number, since it is smaller than the sum of its proper divisors (143563536).

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

74993904 is a wasteful number, since it uses less digits than its factorization.

74993904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 74993904 is about 8659.9020779683. The cubic root of 74993904 is about 421.7049066401.

The spelling of 74993904 in words is "seventy-four million, nine hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 2591 3216 3618 4824 5182 7236 7773 9648 10364 14472 15546 20728 23319 28944 31092 41456 46638 62184 69957 93276 124368 139914 173597 186552 279828 347194 373104 520791 559656 694388 1041582 1119312 1388776 1562373 2083164 2777552 3124746 4166328 4687119 6249492 8332656 9374238 12498984 18748476 24997968 37496952 74993904