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53404624 = 2471343853
BaseRepresentation
bin1100101110111…
…0001111010000
310201111020101001
43023232033100
5102132421444
65144351344
71215634420
oct313561720
9121436331
1053404624
1128166759
1215a75554
13b0aac90
147142480
154a4d8d4
hex32ee3d0

53404624 has 80 divisors (see below), whose sum is σ = 130463872. Its totient is φ = 20611584.

The previous prime is 53404621. The next prime is 53404627. The reversal of 53404624 is 42640435.

It is an interprime number because it is at equal distance from previous prime (53404621) and next prime (53404627).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 53404592 and 53404601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53404621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62182 + ... + 63034.

Almost surely, 253404624 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 53404624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65231936).

53404624 is an abundant number, since it is smaller than the sum of its proper divisors (77059248).

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

53404624 is a wasteful number, since it uses less digits than its factorization.

53404624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 53404624 is about 7307.8467416880. The cubic root of 53404624 is about 376.5820545931.

The spelling of 53404624 in words is "fifty-three million, four hundred four thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 43 52 56 86 91 104 112 172 182 208 301 344 364 559 602 688 728 853 1118 1204 1456 1706 2236 2408 3412 3913 4472 4816 5971 6824 7826 8944 11089 11942 13648 15652 22178 23884 31304 36679 44356 47768 62608 73358 77623 88712 95536 146716 155246 177424 256753 293432 310492 476827 513506 586864 620984 953654 1027012 1241968 1907308 2054024 3337789 3814616 4108048 6675578 7629232 13351156 26702312 53404624