[go: up one dir, main page]

Search a number
-
+
56584398 = 231317139307
BaseRepresentation
bin1101011111011…
…0100011001110
310221110210012110
43113312203032
5103441200043
65340444450
71254650043
oct327664316
9127423173
1056584398
1129a38772
1216b49726
13b9523c0
14772d1ca
154e7ab33
hex35f68ce

56584398 has 64 divisors (see below), whose sum is σ = 130394880. Its totient is φ = 16215552.

The previous prime is 56584349. The next prime is 56584399. The reversal of 56584398 is 89348565.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56584399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184161 + ... + 184467.

It is an arithmetic number, because the mean of its divisors is an integer number (2037420).

Almost surely, 256584398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56584398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65197440).

56584398 is an abundant number, since it is smaller than the sum of its proper divisors (73810482).

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

56584398 is a wasteful number, since it uses less digits than its factorization.

56584398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481.

The product of its digits is 1036800, while the sum is 48.

The square root of 56584398 is about 7522.2601656683. The cubic root of 56584398 is about 383.9124827682.

The spelling of 56584398 in words is "fifty-six million, five hundred eighty-four thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 139 221 278 307 417 442 614 663 834 921 1326 1807 1842 2363 3614 3991 4726 5219 5421 7089 7982 10438 10842 11973 14178 15657 23946 30719 31314 42673 61438 67847 85346 92157 128019 135694 184314 203541 256038 407082 554749 725441 1109498 1450882 1664247 2176323 3328494 4352646 9430733 18861466 28292199 56584398