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64423376 = 2419732903
BaseRepresentation
bin1111010111000…
…0010111010000
311111020001020222
43311300113100
5112443022001
610220452212
71411406153
oct365602720
9144201228
1064423376
1133402266
12196aa068
1310468454
1487adc9a
1559c861b
hex3d705d0

64423376 has 40 divisors (see below), whose sum is σ = 133235520. Its totient is φ = 30087936.

The previous prime is 64423369. The next prime is 64423393. The reversal of 64423376 is 67332446.

64423376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20741 + ... + 23643.

It is an arithmetic number, because the mean of its divisors is an integer number (3330888).

Almost surely, 264423376 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 64423376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66617760).

64423376 is an abundant number, since it is smaller than the sum of its proper divisors (68812144).

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

64423376 is a wasteful number, since it uses less digits than its factorization.

64423376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2997 counting only the distinct ones).

The product of its digits is 72576, while the sum is 35.

The square root of 64423376 is about 8026.4173826185. The cubic root of 64423376 is about 400.8800954929.

The spelling of 64423376 in words is "sixty-four million, four hundred twenty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 73 76 146 152 292 304 584 1168 1387 2774 2903 5548 5806 11096 11612 22192 23224 46448 55157 110314 211919 220628 423838 441256 847676 882512 1695352 3390704 4026461 8052922 16105844 32211688 64423376