Search a number
-
+
53008984 = 2372294663
BaseRepresentation
bin1100101000110…
…1101001011000
310200202010122201
43022031221120
5102032241414
65132055544
71212366100
oct312155130
9120663581
1053008984
1127a16486
12159045b4
13ac9cb82
14707c200
1549c1574
hex328da58

53008984 has 48 divisors (see below), whose sum is σ = 119631600. Its totient is φ = 21930048.

The previous prime is 53008979. The next prime is 53008987. The reversal of 53008984 is 48980035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53008987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9037 + ... + 13699.

It is an arithmetic number, because the mean of its divisors is an integer number (2492325).

Almost surely, 253008984 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 53008984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59815800).

53008984 is an abundant number, since it is smaller than the sum of its proper divisors (66622616).

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

53008984 is a wasteful number, since it uses less digits than its factorization.

53008984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 53008984 is about 7280.7268867882. The cubic root of 53008984 is about 375.6497984187.

The spelling of 53008984 in words is "fifty-three million, eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 1421 1624 2842 4663 5684 9326 11368 18652 32641 37304 65282 130564 135227 228487 261128 270454 456974 540908 913948 946589 1081816 1827896 1893178 3786356 6626123 7572712 13252246 26504492 53008984