Search a number
-
+
53134692 = 223132359251
BaseRepresentation
bin1100101010110…
…0010101100100
310200222112002120
43022230111210
5102100302232
65134505540
71213431432
oct312542544
9120875076
1053134692
1127aa1976
12159652b0
13b015160
1470b1d52
1549e892c
hex32ac564

53134692 has 96 divisors (see below), whose sum is σ = 142248960. Its totient is φ = 15312000.

The previous prime is 53134687. The next prime is 53134703. The reversal of 53134692 is 29643135.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211567 + ... + 211817.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 253134692 is an apocalyptic number.

53134692 is a gapful number since it is divisible by the number (52) 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 53134692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

53134692 is an abundant number, since it is smaller than the sum of its proper divisors (89114268).

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

53134692 is a wasteful number, since it uses less digits than its factorization.

53134692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 351 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 53134692 is about 7289.3547039501. The cubic root of 53134692 is about 375.9465085365.

The spelling of 53134692 in words is "fifty-three million, one hundred thirty-four thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 59 69 78 92 118 138 156 177 236 251 276 299 354 502 598 708 753 767 897 1004 1196 1357 1506 1534 1794 2301 2714 3012 3068 3263 3588 4071 4602 5428 5773 6526 8142 9204 9789 11546 13052 14809 16284 17319 17641 19578 23092 29618 34638 35282 39156 44427 52923 59236 69276 70564 75049 88854 105846 150098 177708 192517 211692 225147 300196 340607 385034 450294 577551 681214 770068 900588 1021821 1155102 1362428 2043642 2310204 4087284 4427891 8855782 13283673 17711564 26567346 53134692