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64994976 = 2532832719
BaseRepresentation
bin1111011111101…
…1111010100000
311112022002100100
43313323322200
5113114314401
610241022400
71416306504
oct367737240
9145262310
1064994976
1133762762
1219924a00
1310608687
1488bc304
155a8cb86
hex3dfbea0

64994976 has 72 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 21396096.

The previous prime is 64994939. The next prime is 64994983. The reversal of 64994976 is 67949946.

64994976 is a `hidden beast` number, since 64 + 99 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22545 + ... + 25263.

It is an arithmetic number, because the mean of its divisors is an integer number (2598960).

Almost surely, 264994976 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 64994976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

64994976 is an abundant number, since it is smaller than the sum of its proper divisors (122130144).

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

64994976 is a wasteful number, since it uses less digits than its factorization.

With its successor (64994977) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2807).

64994976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2807 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 64994976 is about 8061.9461670244. The cubic root of 64994976 is about 402.0622165529.

The spelling of 64994976 in words is "sixty-four million, nine hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2719 2988 3984 5438 5976 7968 8157 10876 11952 16314 21752 23904 24471 32628 43504 48942 65256 87008 97884 130512 195768 225677 261024 391536 451354 677031 783072 902708 1354062 1805416 2031093 2708124 3610832 4062186 5416248 7221664 8124372 10832496 16248744 21664992 32497488 64994976