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53791416 = 23327279193
BaseRepresentation
bin1100110100110…
…0101010111000
310202012212221200
43031030222320
5102232311131
65200534200
71222135200
oct315145270
9122185850
1053791416
1128400318
1216021360
13b1b5053
147203400
154ac82e6
hex334cab8

53791416 has 144 divisors (see below), whose sum is σ = 172504800. Its totient is φ = 15095808.

The previous prime is 53791403. The next prime is 53791481. The reversal of 53791416 is 61419735.

53791416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 278616 + ... + 278808.

It is an arithmetic number, because the mean of its divisors is an integer number (1197950).

Almost surely, 253791416 is an apocalyptic number.

53791416 is a gapful number since it is divisible by the number (56) 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 53791416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86252400).

53791416 is an abundant number, since it is smaller than the sum of its proper divisors (118713384).

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

53791416 is a wasteful number, since it uses less digits than its factorization.

53791416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 284 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 53791416 is about 7334.2631531736. The cubic root of 53791416 is about 377.4890215073.

The spelling of 53791416 in words is "fifty-three million, seven hundred ninety-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 79 84 98 126 147 158 168 193 196 237 252 294 316 386 392 441 474 504 553 579 588 632 711 772 882 948 1106 1158 1176 1351 1422 1544 1659 1737 1764 1896 2212 2316 2702 2844 3318 3474 3528 3871 4053 4424 4632 4977 5404 5688 6636 6948 7742 8106 9457 9954 10808 11613 12159 13272 13896 15247 15484 16212 18914 19908 23226 24318 28371 30494 30968 32424 34839 37828 39816 45741 46452 48636 56742 60988 69678 75656 85113 91482 92904 97272 106729 113484 121976 137223 139356 170226 182964 213458 226968 274446 278712 320187 340452 365928 426916 548892 640374 680904 747103 853832 960561 1097784 1280748 1494206 1921122 2241309 2561496 2988412 3842244 4482618 5976824 6723927 7684488 8965236 13447854 17930472 26895708 53791416