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53114904 = 23323153449
BaseRepresentation
bin1100101010011…
…1100000011000
310200221111221200
43022213200120
5102044134104
65134234200
71213316643
oct312474030
9120844850
1053114904
1127a89017
1215955960
13b00914b
1470a8a5a
1549e2b39
hex32a7818

53114904 has 96 divisors (see below), whose sum is σ = 151632000. Its totient is φ = 16773120.

The previous prime is 53114903. The next prime is 53114909. The reversal of 53114904 is 40941135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53114903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118072 + ... + 118520.

It is an arithmetic number, because the mean of its divisors is an integer number (1579500).

Almost surely, 253114904 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 53114904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75816000).

53114904 is an abundant number, since it is smaller than the sum of its proper divisors (98517096).

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

53114904 is a wasteful number, since it uses less digits than its factorization.

53114904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 53114904 is about 7287.9972557624. The cubic root of 53114904 is about 375.8998337376.

The spelling of 53114904 in words is "fifty-three million, one hundred fourteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 53 62 72 93 106 124 159 186 212 248 279 318 372 424 449 477 558 636 744 898 954 1116 1272 1347 1643 1796 1908 2232 2694 3286 3592 3816 4041 4929 5388 6572 8082 9858 10776 13144 13919 14787 16164 19716 23797 27838 29574 32328 39432 41757 47594 55676 59148 71391 83514 95188 111352 118296 125271 142782 167028 190376 214173 250542 285564 334056 428346 501084 571128 737707 856692 1002168 1475414 1713384 2213121 2950828 4426242 5901656 6639363 8852484 13278726 17704968 26557452 53114904