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53142804 = 223411133137
BaseRepresentation
bin1100101010111…
…0010100010100
310200222221020000
43022232110110
5102101032204
65135011300
71213464201
oct312562424
9120887200
1053142804
1127aa7a80
1215969b30
13b018a60
1470b4ca8
1549eb039
hex32ae514

53142804 has 240 divisors, whose sum is σ = 173031936. Its totient is φ = 13996800.

The previous prime is 53142781. The next prime is 53142823. The reversal of 53142804 is 40824135.

53142804 = 622 + 632 + ... + 5422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1436274 + ... + 1436310.

Almost surely, 253142804 is an apocalyptic number.

53142804 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53142804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86515968).

53142804 is an abundant number, since it is smaller than the sum of its proper divisors (119889132).

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

53142804 is a wasteful number, since it uses less digits than its factorization.

53142804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 53142804 is about 7289.9111105692. The cubic root of 53142804 is about 375.9656393076.

Adding to 53142804 its reverse (40824135), we get a palindrome (93966939).

It can be divided in two parts, 5314 and 2804, that added together give a palindrome (8118).

The spelling of 53142804 in words is "fifty-three million, one hundred forty-two thousand, eight hundred four".