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74693472 = 2537412711
BaseRepresentation
bin1000111001110…
…11101101100000
312012112211011220
410130323231200
5123110142342
611224535040
71564612140
oct434735540
9165484156
1074693472
1139187347
1221021480
1312622c29
149cc4920
1568565ec
hex473bb60

74693472 has 96 divisors (see below), whose sum is σ = 229630464. Its totient is φ = 20812800.

The previous prime is 74693471. The next prime is 74693501. The reversal of 74693472 is 27439647.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×746934722 = 11158229518829568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74693471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26197 + ... + 28907.

It is an arithmetic number, because the mean of its divisors is an integer number (2391984).

Almost surely, 274693472 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 74693472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114815232).

74693472 is an abundant number, since it is smaller than the sum of its proper divisors (154936992).

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

74693472 is a wasteful number, since it uses less digits than its factorization.

74693472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2764 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 74693472 is about 8642.5385159686. The cubic root of 74693472 is about 421.1410243281.

The spelling of 74693472 in words is "seventy-four million, six hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 2711 3444 3936 4592 5422 6888 8133 9184 10844 13776 16266 18977 21688 27552 32532 37954 43376 56931 65064 75908 86752 111151 113862 130128 151816 222302 227724 260256 303632 333453 444604 455448 607264 666906 778057 889208 910896 1333812 1556114 1778416 1821792 2334171 2667624 3112228 3556832 4668342 5335248 6224456 9336684 10670496 12448912 18673368 24897824 37346736 74693472