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64496016 = 243213131263
BaseRepresentation
bin1111011000001…
…0000110010000
311111100201220100
43312002012100
5113002333031
610222212400
71412131014
oct366020620
9144321810
1064496016
11334518a2
1219724100
1310492530
1487cc544
1559dede6
hex3d82190

64496016 has 120 divisors (see below), whose sum is σ = 196612416. Its totient is φ = 19618560.

The previous prime is 64495987. The next prime is 64496021. The reversal of 64496016 is 61069446.

64496016 is a `hidden beast` number, since 6 + 4 + 49 + 601 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245101 + ... + 245363.

Almost surely, 264496016 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 64496016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98306208).

64496016 is an abundant number, since it is smaller than the sum of its proper divisors (132116400).

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

64496016 is a wasteful number, since it uses less digits than its factorization.

64496016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 64496016 is about 8030.9411652682. The cubic root of 64496016 is about 401.0307084855.

The spelling of 64496016 in words is "sixty-four million, four hundred ninety-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 131 144 156 208 234 262 263 312 393 468 524 526 624 786 789 936 1048 1052 1179 1572 1578 1703 1872 2096 2104 2358 2367 3144 3156 3406 3419 4208 4716 4734 5109 6288 6312 6812 6838 9432 9468 10218 10257 12624 13624 13676 15327 18864 18936 20436 20514 27248 27352 30654 30771 34453 37872 40872 41028 54704 61308 61542 68906 81744 82056 103359 122616 123084 137812 164112 206718 245232 246168 275624 310077 413436 447889 492336 551248 620154 826872 895778 1240308 1343667 1653744 1791556 2480616 2687334 3583112 4031001 4961232 5374668 7166224 8062002 10749336 16124004 21498672 32248008 64496016