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74246016 = 27313107139
BaseRepresentation
bin1000110110011…
…10011110000000
312011201002101110
410123032132000
5123001333031
611211203320
71561036455
oct433163600
9164632343
1074246016
1138a01149
1220a46540
13124c7370
149c0982c
1567b8c46
hex46ce780

74246016 has 128 divisors (see below), whose sum is σ = 215913600. Its totient is φ = 22468608.

The previous prime is 74245999. The next prime is 74246059. The reversal of 74246016 is 61064247.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534075 + ... + 534213.

It is an arithmetic number, because the mean of its divisors is an integer number (1686825).

Almost surely, 274246016 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 74246016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800).

74246016 is an abundant number, since it is smaller than the sum of its proper divisors (141667584).

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

74246016 is a wasteful number, since it uses less digits than its factorization.

74246016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 74246016 is about 8616.6127915788. The cubic root of 74246016 is about 420.2983820735.

The spelling of 74246016 in words is "seventy-four million, two hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 107 128 139 156 192 208 214 278 312 321 384 416 417 428 556 624 642 832 834 856 1112 1248 1284 1391 1664 1668 1712 1807 2224 2496 2568 2782 3336 3424 3614 4173 4448 4992 5136 5421 5564 6672 6848 7228 8346 8896 10272 10842 11128 13344 13696 14456 14873 16692 17792 20544 21684 22256 26688 28912 29746 33384 41088 43368 44512 44619 53376 57824 59492 66768 86736 89024 89238 115648 118984 133536 173472 178048 178476 193349 231296 237968 267072 346944 356952 386698 475936 534144 580047 693888 713904 773396 951872 1160094 1427808 1546792 1903744 2320188 2855616 3093584 4640376 5711232 6187168 9280752 12374336 18561504 24748672 37123008 74246016