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52099380 = 223252411201
BaseRepresentation
bin1100011010111…
…1100100110100
310122000220220200
43012233210310
5101314140010
65100400500
71201560144
oct306574464
9118026820
1052099380
1127455043
1215546130
13aa41b48
146cc2924
154891cc0
hex31af934

52099380 has 72 divisors (see below), whose sum is σ = 158822664. Its totient is φ = 13824000.

The previous prime is 52099363. The next prime is 52099381. The reversal of 52099380 is 8399025.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 51753636 = 588^2 + 7194^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52099381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42780 + ... + 43980.

Almost surely, 252099380 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 52099380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79411332).

52099380 is an abundant number, since it is smaller than the sum of its proper divisors (106723284).

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

52099380 is a wasteful number, since it uses less digits than its factorization.

52099380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 52099380 is about 7217.9900249308. The cubic root of 52099380 is about 373.4887444660.

The spelling of 52099380 in words is "fifty-two million, ninety-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 723 964 1201 1205 1446 2169 2402 2410 2892 3603 3615 4338 4804 4820 6005 7206 7230 8676 10809 10845 12010 14412 14460 18015 21618 21690 24020 36030 43236 43380 54045 72060 108090 216180 289441 578882 868323 1157764 1447205 1736646 2604969 2894410 3473292 4341615 5209938 5788820 8683230 10419876 13024845 17366460 26049690 52099380