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74866464 = 2533731187
BaseRepresentation
bin1000111011001…
…01111100100000
312012212121111000
410131211330200
5123131211324
611232352000
71566232401
oct435457440
9165777430
1074866464
1139295312
12210a5600
13126838aa
149d2b9a8
15688c9c9
hex4765f20

74866464 has 96 divisors (see below), whose sum is σ = 221538240. Its totient is φ = 24592896.

The previous prime is 74866427. The next prime is 74866469. The reversal of 74866464 is 46466847.

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

It is not an unprimeable number, because it can be changed into a prime (74866469) 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 15 ways as a sum of consecutive naturals, for example, 62479 + ... + 63665.

It is an arithmetic number, because the mean of its divisors is an integer number (2307690).

Almost surely, 274866464 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 74866464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110769120).

74866464 is an abundant number, since it is smaller than the sum of its proper divisors (146671776).

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

74866464 is a wasteful number, since it uses less digits than its factorization.

74866464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1265 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 74866464 is about 8652.5408984876. The cubic root of 74866464 is about 421.4658981288.

The spelling of 74866464 in words is "seventy-four million, eight hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 432 438 584 657 864 876 1168 1187 1314 1752 1971 2336 2374 2628 3504 3561 3942 4748 5256 7008 7122 7884 9496 10512 10683 14244 15768 18992 21024 21366 28488 31536 32049 37984 42732 56976 63072 64098 85464 86651 113952 128196 170928 173302 256392 259953 341856 346604 512784 519906 693208 779859 1025568 1039812 1386416 1559718 2079624 2339577 2772832 3119436 4159248 4679154 6238872 8318496 9358308 12477744 18716616 24955488 37433232 74866464