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53774336 = 211711231
BaseRepresentation
bin1100110100100…
…0100000000000
310202012000112002
43031020200000
5102231234321
65200323132
71222034330
oct315104000
9122160462
1053774336
1128399500
12160134a8
13b1aa345
1471db0c0
154ac320b
hex3348800

53774336 has 144 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 20275200.

The previous prime is 53774317. The next prime is 53774341. The reversal of 53774336 is 63347735.

It is a super-3 number, since 3×537743363 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53774336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1734641 + ... + 1734671.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 253774336 is an apocalyptic number.

53774336 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 53774336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

53774336 is an abundant number, since it is smaller than the sum of its proper divisors (85652224).

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

53774336 is a wasteful number, since it uses less digits than its factorization.

53774336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

The product of its digits is 158760, while the sum is 38.

The square root of 53774336 is about 7333.0986629119. The cubic root of 53774336 is about 377.4490634898.

The spelling of 53774336 in words is "fifty-three million, seven hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 121 124 128 154 176 217 224 242 248 256 308 341 352 434 448 484 496 512 616 682 704 847 868 896 968 992 1024 1232 1364 1408 1694 1736 1792 1936 1984 2048 2387 2464 2728 2816 3388 3472 3584 3751 3872 3968 4774 4928 5456 5632 6776 6944 7168 7502 7744 7936 9548 9856 10912 11264 13552 13888 14336 15004 15488 15872 19096 19712 21824 22528 26257 27104 27776 30008 30976 31744 38192 39424 43648 52514 54208 55552 60016 61952 63488 76384 78848 87296 105028 108416 111104 120032 123904 152768 157696 174592 210056 216832 222208 240064 247808 305536 349184 420112 433664 444416 480128 611072 698368 840224 867328 960256 1222144 1680448 1734656 1920512 2444288 3360896 3841024 4888576 6721792 7682048 13443584 26887168 53774336