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52597980 = 223251032837
BaseRepresentation
bin1100100010100…
…1010011011100
310122222020212100
43020221103130
5101431113410
65115205100
71206034611
oct310512334
9118866770
1052597980
1127765706
1215746790
13ab87a86
146db2508
15493e8c0
hex32294dc

52597980 has 72 divisors (see below), whose sum is σ = 161152992. Its totient is φ = 13885056.

The previous prime is 52597973. The next prime is 52597991. The reversal of 52597980 is 8979525.

It is a happy number.

52597980 is a `hidden beast` number, since 52 + 597 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17122 + ... + 19958.

It is an arithmetic number, because the mean of its divisors is an integer number (2238236).

Almost surely, 252597980 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 52597980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80576496).

52597980 is an abundant number, since it is smaller than the sum of its proper divisors (108555012).

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

52597980 is a wasteful number, since it uses less digits than its factorization.

52597980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 52597980 is about 7252.4464837736. The cubic root of 52597980 is about 374.6764141929.

The spelling of 52597980 in words is "fifty-two million, five hundred ninety-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 2837 3090 3708 4635 5674 6180 8511 9270 11348 14185 17022 18540 25533 28370 34044 42555 51066 56740 85110 102132 127665 170220 255330 292211 510660 584422 876633 1168844 1461055 1753266 2629899 2922110 3506532 4383165 5259798 5844220 8766330 10519596 13149495 17532660 26298990 52597980