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53079516 = 22337611151
BaseRepresentation
bin1100101001111…
…0110111011100
310200212201102000
43022132313130
5102042021031
65133402300
71213111530
oct312366734
9120781360
1053079516
1127a64476
1215939390
13acc5cc9
147099bc0
1549d73e6
hex329eddc

53079516 has 96 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 14904000.

The previous prime is 53079503. The next prime is 53079539. The reversal of 53079516 is 61597035.

It is a happy number.

53079516 is a `hidden beast` number, since 530 + 79 + 51 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45541 + ... + 46691.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 253079516 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 53079516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).

53079516 is an abundant number, since it is smaller than the sum of its proper divisors (106910244).

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

53079516 is a wasteful number, since it uses less digits than its factorization.

53079516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 53079516 is about 7285.5690237620. The cubic root of 53079516 is about 375.8163336422.

The spelling of 53079516 in words is "fifty-three million, seventy-nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 84 108 122 126 183 189 244 252 366 378 427 549 732 756 854 1098 1151 1281 1647 1708 2196 2302 2562 3294 3453 3843 4604 5124 6588 6906 7686 8057 10359 11529 13812 15372 16114 20718 23058 24171 31077 32228 41436 46116 48342 62154 70211 72513 96684 124308 140422 145026 210633 217539 280844 290052 421266 435078 491477 631899 842532 870156 982954 1263798 1474431 1895697 1965908 2527596 2948862 3791394 4423293 5897724 7582788 8846586 13269879 17693172 26539758 53079516