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74945664 = 273267971
BaseRepresentation
bin1000111011110…
…01010010000000
312020000122010100
410131321102000
5123141230124
611234202400
71600012323
oct435712200
9166018110
1074945664
1139339872
1221123400
13126b0961
149d4c7ba
1568a61c9
hex4779480

74945664 has 96 divisors (see below), whose sum is σ = 219108240. Its totient is φ = 24583680.

The previous prime is 74945653. The next prime is 74945681. The reversal of 74945664 is 46654947.

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

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 11 ways as a sum of consecutive naturals, for example, 76699 + ... + 77669.

Almost surely, 274945664 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 74945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109554120).

74945664 is an abundant number, since it is smaller than the sum of its proper divisors (144162576).

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

74945664 is a wasteful number, since it uses less digits than its factorization.

74945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1043 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 74945664 is about 8657.1163790260. The cubic root of 74945664 is about 421.6144663640.

The spelling of 74945664 in words is "seventy-four million, nine hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 268 288 384 402 536 576 603 804 971 1072 1152 1206 1608 1942 2144 2412 2913 3216 3884 4288 4824 5826 6432 7768 8576 8739 9648 11652 12864 15536 17478 19296 23304 25728 31072 34956 38592 46608 62144 65057 69912 77184 93216 124288 130114 139824 186432 195171 260228 279648 372864 390342 520456 559296 585513 780684 1040912 1118592 1171026 1561368 2081824 2342052 3122736 4163648 4684104 6245472 8327296 9368208 12490944 18736416 24981888 37472832 74945664