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74660992 = 277103809
BaseRepresentation
bin1000111001100…
…11110010000000
312012111011121221
410130303302000
5123103122432
611224124424
71564415350
oct434636200
9165434557
1074660992
11391649aa
1221006714
1312611203
149cb6b60
15684bb97
hex4733c80

74660992 has 64 divisors (see below), whose sum is σ = 171849600. Its totient is φ = 31647744.

The previous prime is 74660977. The next prime is 74661007. The reversal of 74660992 is 29906647.

It is an interprime number because it is at equal distance from previous prime (74660977) and next prime (74661007).

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 91884 + ... + 92692.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 274660992 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 74660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

74660992 is an abundant number, since it is smaller than the sum of its proper divisors (97188608).

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

74660992 is a wasteful number, since it uses less digits than its factorization.

74660992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 74660992 is about 8640.6592341094. The cubic root of 74660992 is about 421.0799719440.

It can be divided in two parts, 7 and 4660992, that multiplied together give a square (32626944 = 57122).

The spelling of 74660992 in words is "seventy-four million, six hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 412 448 721 809 824 896 1442 1618 1648 2884 3236 3296 5663 5768 6472 6592 11326 11536 12944 13184 22652 23072 25888 45304 46144 51776 83327 90608 92288 103552 166654 181216 333308 362432 583289 666616 724864 1166578 1333232 2333156 2666464 4666312 5332928 9332624 10665856 18665248 37330496 74660992