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73264568 = 231323109281
BaseRepresentation
bin1000101110111…
…10110110111000
312002212020002112
410113132312320
5122223431233
611134151452
71546511216
oct427366670
9162766075
1073264568
11383a0833
1220652588
1312242720
149a31cb6
156673048
hex45dedb8

73264568 has 64 divisors (see below), whose sum is σ = 156340800. Its totient is φ = 31933440.

The previous prime is 73264553. The next prime is 73264573. The reversal of 73264568 is 86546237.

It is a happy number.

Its product of digits (241920) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260588 + ... + 260868.

It is an arithmetic number, because the mean of its divisors is an integer number (2442825).

Almost surely, 273264568 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 73264568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78170400).

73264568 is an abundant number, since it is smaller than the sum of its proper divisors (83076232).

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

73264568 is a wasteful number, since it uses less digits than its factorization.

73264568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 73264568 is about 8559.4724136479. The cubic root of 73264568 is about 418.4382056225.

The spelling of 73264568 in words is "seventy-three million, two hundred sixty-four thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 109 184 218 281 299 436 562 598 872 1124 1196 1417 2248 2392 2507 2834 3653 5014 5668 6463 7306 10028 11336 12926 14612 20056 25852 29224 30629 32591 51704 61258 65182 84019 122516 130364 168038 245032 260728 336076 398177 672152 704467 796354 1408934 1592708 2817868 3185416 5635736 9158071 18316142 36632284 73264568