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74786964 = 22371947997
BaseRepresentation
bin1000111010100…
…10100010010100
312012201120102120
410131102202110
5123121140324
611230535540
71565451540
oct435224224
9165646376
1074786964
113924060a
12210675b0
1312656655
149d0aa20
156874179
hex4752894

74786964 has 96 divisors (see below), whose sum is σ = 214609920. Its totient is φ = 19792512.

The previous prime is 74786951. The next prime is 74786981. The reversal of 74786964 is 46968747.

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 31 ways as a sum of consecutive naturals, for example, 74514 + ... + 75510.

It is an arithmetic number, because the mean of its divisors is an integer number (2235520).

Almost surely, 274786964 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 74786964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107304960).

74786964 is an abundant number, since it is smaller than the sum of its proper divisors (139822956).

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

74786964 is a wasteful number, since it uses less digits than its factorization.

74786964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1075 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 74786964 is about 8647.9456520031. The cubic root of 74786964 is about 421.3166617231.

The spelling of 74786964 in words is "seventy-four million, seven hundred eighty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 47 57 76 84 94 114 133 141 188 228 266 282 329 399 532 564 658 798 893 987 997 1316 1596 1786 1974 1994 2679 2991 3572 3948 3988 5358 5982 6251 6979 10716 11964 12502 13958 18753 18943 20937 25004 27916 37506 37886 41874 46859 56829 75012 75772 83748 93718 113658 132601 140577 187436 227316 265202 281154 328013 397803 530404 562308 656026 795606 890321 984039 1312052 1591212 1780642 1968078 2670963 3561284 3936156 5341926 6232247 10683852 12464494 18696741 24928988 37393482 74786964