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74997648 = 243211113419
BaseRepresentation
bin1000111100001…
…01111110010000
312020010021102200
410132011332100
5123144411043
611235243200
71600320015
oct436057620
9166107380
1074997648
1139374930
1221149500
13126cb50b
149d6370c
1568b67d3
hex4785f90

74997648 has 120 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 22471680.

The previous prime is 74997647. The next prime is 74997653. The reversal of 74997648 is 84679947.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 74997594 and 74997603.

It is not an unprimeable number, because it can be changed into a prime (74997647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178783 + ... + 179201.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 274997648 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 74997648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

74997648 is an abundant number, since it is smaller than the sum of its proper divisors (156550032).

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

74997648 is a wasteful number, since it uses less digits than its factorization.

74997648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 548 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 74997648 is about 8660.1182439964. The cubic root of 74997648 is about 421.7119242634.

The spelling of 74997648 in words is "seventy-four million, nine hundred ninety-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 113 132 144 176 198 226 264 339 396 419 452 528 678 792 838 904 1017 1243 1257 1356 1584 1676 1808 2034 2486 2514 2712 3352 3729 3771 4068 4609 4972 5028 5424 6704 7458 7542 8136 9218 9944 10056 11187 13827 14916 15084 16272 18436 19888 20112 22374 27654 29832 30168 36872 41481 44748 47347 55308 59664 60336 73744 82962 89496 94694 110616 142041 165924 178992 189388 221232 284082 331848 378776 426123 520817 568164 663696 757552 852246 1041634 1136328 1562451 1704492 2083268 2272656 3124902 3408984 4166536 4687353 6249804 6817968 8333072 9374706 12499608 18749412 24999216 37498824 74997648