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74974464 = 283310847
BaseRepresentation
bin1000111100000…
…00010100000000
312020002002122000
410132000110000
5123143140324
611234544000
71600162305
oct436002400
9166062560
1074974464
1139359474
1221138000
13126c0ab6
149d590ac
1568ae9c9
hex4780500

74974464 has 72 divisors (see below), whose sum is σ = 221733120. Its totient is φ = 24989184.

The previous prime is 74974463. The next prime is 74974519. The reversal of 74974464 is 46447947.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74974463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1489 + ... + 12335.

Almost surely, 274974464 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 74974464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110866560).

74974464 is an abundant number, since it is smaller than the sum of its proper divisors (146758656).

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

74974464 is a wasteful number, since it uses less digits than its factorization.

74974464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872 (or 10852 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 74974464 is about 8658.7795906814. The cubic root of 74974464 is about 421.6684652255.

The spelling of 74974464 in words is "seventy-four million, nine hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 10847 21694 32541 43388 65082 86776 97623 130164 173552 195246 260328 292869 347104 390492 520656 585738 694208 780984 1041312 1171476 1388416 1561968 2082624 2342952 2776832 3123936 4165248 4685904 6247872 8330496 9371808 12495744 18743616 24991488 37487232 74974464