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66893472 = 2533139557
BaseRepresentation
bin1111111100101…
…1011010100000
311122212112121000
43333023122200
5114111042342
610345432000
71441404462
oct377133240
9148775530
1066893472
113483a068
121a49b600
1310b21849
148c54132
155d1544c
hex3fcb6a0

66893472 has 96 divisors (see below), whose sum is σ = 196862400. Its totient is φ = 22097664.

The previous prime is 66893413. The next prime is 66893483. The reversal of 66893472 is 27439866.

It is a tau number, because it is divible by the number of its divisors (96).

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, 119818 + ... + 120374.

It is an arithmetic number, because the mean of its divisors is an integer number (2050650).

Almost surely, 266893472 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 66893472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431200).

66893472 is an abundant number, since it is smaller than the sum of its proper divisors (129968928).

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

66893472 is a wasteful number, since it uses less digits than its factorization.

66893472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 701 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 66893472 is about 8178.8429499533. The cubic root of 66893472 is about 405.9394378511.

The spelling of 66893472 in words is "sixty-six million, eight hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 139 144 216 278 288 417 432 556 557 834 864 1112 1114 1251 1668 1671 2224 2228 2502 3336 3342 3753 4448 4456 5004 5013 6672 6684 7506 8912 10008 10026 13344 13368 15012 15039 17824 20016 20052 26736 30024 30078 40032 40104 53472 60048 60156 77423 80208 120096 120312 154846 160416 232269 240624 309692 464538 481248 619384 696807 929076 1238768 1393614 1858152 2090421 2477536 2787228 3716304 4180842 5574456 7432608 8361684 11148912 16723368 22297824 33446736 66893472