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64493712 = 2433337443
BaseRepresentation
bin1111011000000…
…1100010010000
311111100121202000
43312001202100
5113002244322
610222154000
71412121213
oct366014220
9144317660
1064493712
1133450098
1219722900
131049147a
1487cb77a
1559de3ac
hex3d81890

64493712 has 80 divisors (see below), whose sum is σ = 186089280. Its totient is φ = 21385728.

The previous prime is 64493687. The next prime is 64493717. The reversal of 64493712 is 21739446.

64493712 is a `hidden beast` number, since 644 + 9 + 3 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (64493717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145363 + ... + 145805.

It is an arithmetic number, because the mean of its divisors is an integer number (2326116).

Almost surely, 264493712 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 64493712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93044640).

64493712 is an abundant number, since it is smaller than the sum of its proper divisors (121595568).

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

64493712 is a wasteful number, since it uses less digits than its factorization.

64493712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 785 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 64493712 is about 8030.7977187824. The cubic root of 64493712 is about 401.0259330703.

The spelling of 64493712 in words is "sixty-four million, four hundred ninety-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 337 432 443 674 886 1011 1329 1348 1772 2022 2658 2696 3033 3544 3987 4044 5316 5392 6066 7088 7974 8088 9099 10632 11961 12132 15948 16176 18198 21264 23922 24264 31896 36396 47844 48528 63792 72792 95688 145584 149291 191376 298582 447873 597164 895746 1194328 1343619 1791492 2388656 2687238 3582984 4030857 5374476 7165968 8061714 10748952 16123428 21497904 32246856 64493712