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53314092 = 223313223127
BaseRepresentation
bin1100101101100…
…0001000101100
310201022122012000
43023120020230
5102122022332
65142412300
71215106446
oct313301054
9121278160
1053314092
1128104737
1215a31090
13b078a00
14711b496
154a31b7c
hex32d822c

53314092 has 144 divisors (see below), whose sum is σ = 157409280. Its totient is φ = 15567552.

The previous prime is 53314081. The next prime is 53314099. The reversal of 53314092 is 29041335.

53314092 is a `hidden beast` number, since 533 + 1 + 40 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (53314099) 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 47 ways as a sum of consecutive naturals, for example, 419733 + ... + 419859.

It is an arithmetic number, because the mean of its divisors is an integer number (1093120).

Almost surely, 253314092 is an apocalyptic number.

53314092 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 53314092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78704640).

53314092 is an abundant number, since it is smaller than the sum of its proper divisors (104095188).

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

53314092 is a wasteful number, since it uses less digits than its factorization.

53314092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53314092 is about 7301.6499505249. The cubic root of 53314092 is about 376.3691391378.

The spelling of 53314092 in words is "fifty-three million, three hundred fourteen thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 127 138 156 169 207 234 254 276 299 338 351 381 414 468 507 508 598 621 676 702 762 828 897 1014 1143 1196 1242 1404 1521 1524 1651 1794 2028 2286 2484 2691 2921 3042 3302 3429 3588 3887 4563 4572 4953 5382 5842 6084 6604 6858 7774 8073 8763 9126 9906 10764 11661 11684 13716 14859 15548 16146 17526 18252 19812 21463 23322 26289 29718 32292 34983 35052 37973 42926 44577 46644 52578 59436 64389 69966 75946 78867 85852 89154 104949 105156 113919 128778 139932 151892 157734 178308 193167 209898 227838 257556 315468 341757 386334 419796 455676 493649 579501 683514 772668 987298 1025271 1159002 1367028 1480947 1974596 2050542 2318004 2961894 4101084 4442841 5923788 8885682 13328523 17771364 26657046 53314092