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53857940 = 2253773997
BaseRepresentation
bin1100110101110…
…0111010010100
310202100021012112
43031130322110
5102241423230
65202210152
71222533143
oct315347224
9122307175
1053857940
11284462a4
1216053958
13b209406
14721d75a
154adcd95
hex335ce94

53857940 has 48 divisors (see below), whose sum is σ = 117867792. Its totient is φ = 20653056.

The previous prime is 53857939. The next prime is 53857949. The reversal of 53857940 is 4975835.

It can be written as a sum of positive squares in 8 ways, for example, as 7862416 + 45995524 = 2804^2 + 6782^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53857949) 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, 53522 + ... + 54518.

It is an arithmetic number, because the mean of its divisors is an integer number (2455579).

Almost surely, 253857940 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 53857940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58933896).

53857940 is an abundant number, since it is smaller than the sum of its proper divisors (64009852).

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

53857940 is a wasteful number, since it uses less digits than its factorization.

53857940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 53857940 is about 7338.7969041254. The cubic root of 53857940 is about 377.6445713241.

The spelling of 53857940 in words is "fifty-three million, eight hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 73 74 146 148 185 292 365 370 730 740 997 1460 1994 2701 3988 4985 5402 9970 10804 13505 19940 27010 36889 54020 72781 73778 145562 147556 184445 291124 363905 368890 727810 737780 1455620 2692897 5385794 10771588 13464485 26928970 53857940