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53040372 = 223711137419
BaseRepresentation
bin1100101001010…
…1010011110100
310200210201201020
43022111103310
5102034242442
65132501140
71212556440
oct312252364
9120721636
1053040372
1127a38020
121591a7b0
13acb1248
147089820
1549ca9ec
hex32954f4

53040372 has 96 divisors (see below), whose sum is σ = 155796480. Its totient is φ = 13643520.

The previous prime is 53040367. The next prime is 53040373. The reversal of 53040372 is 27304035.

53040372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53040373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126379 + ... + 126797.

It is an arithmetic number, because the mean of its divisors is an integer number (1622880).

Almost surely, 253040372 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 53040372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77898240).

53040372 is an abundant number, since it is smaller than the sum of its proper divisors (102756108).

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

53040372 is a wasteful number, since it uses less digits than its factorization.

53040372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 53040372 is about 7282.8821217977. The cubic root of 53040372 is about 375.7239277990.

The spelling of 53040372 in words is "fifty-three million, forty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 137 154 231 274 308 411 419 462 548 822 838 924 959 1257 1507 1644 1676 1918 2514 2877 2933 3014 3836 4521 4609 5028 5754 5866 6028 8799 9042 9218 10549 11508 11732 13827 17598 18084 18436 21098 27654 31647 32263 35196 42196 55308 57403 63294 64526 96789 114806 126588 129052 172209 193578 229612 344418 387156 401821 631433 688836 803642 1205463 1262866 1607284 1894299 2410926 2525732 3788598 4420031 4821852 7577196 8840062 13260093 17680124 26520186 53040372