Search a number
-
+
53417628 = 223211212263
BaseRepresentation
bin1100101111000…
…1011010011100
310201111220012200
43023301122130
5102133331003
65144531500
71216020345
oct313613234
9121456180
1053417628
1128175500
1215a80b90
13b0b3b84
1471470cc
154a526a3
hex32f169c

53417628 has 54 divisors (see below), whose sum is σ = 148431192. Its totient is φ = 16185840.

The previous prime is 53417627. The next prime is 53417633. The reversal of 53417628 is 82671435.

It is a super-2 number, since 2×534176282 = 5706885962292768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 53417592 and 53417601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53417627) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1776 + ... + 10487.

Almost surely, 253417628 is an apocalyptic number.

It is an amenable number.

53417628 is an abundant number, since it is smaller than the sum of its proper divisors (95013564).

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

53417628 is a wasteful number, since it uses less digits than its factorization.

53417628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12295 (or 12279 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 53417628 is about 7308.7364160982. The cubic root of 53417628 is about 376.6126179616.

It can be divided in two parts, 53417 and 628, that added together give a palindrome (54045).

The spelling of 53417628 in words is "fifty-three million, four hundred seventeen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 12263 24526 36789 49052 73578 110367 134893 147156 220734 269786 404679 441468 539572 809358 1214037 1483823 1618716 2428074 2967646 4451469 4856148 5935292 8902938 13354407 17805876 26708814 53417628