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53774952 = 23372114157
BaseRepresentation
bin1100110100100…
…0101001101000
310202012001100220
43031020221220
5102231244302
65200330040
71222036200
oct315105150
9122161326
1053774952
1128399a10
1216013920
13b1aa6ca
1471db400
154ac34bc
hex3348a68

53774952 has 96 divisors (see below), whose sum is σ = 170644320. Its totient is φ = 13964160.

The previous prime is 53774947. The next prime is 53774999. The reversal of 53774952 is 25947735.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 10858 + ... + 15014.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545).

Almost surely, 253774952 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 53774952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85322160).

53774952 is an abundant number, since it is smaller than the sum of its proper divisors (116869368).

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

53774952 is a wasteful number, since it uses less digits than its factorization.

53774952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4180 counting only the distinct ones).

The product of its digits is 264600, while the sum is 42.

The square root of 53774952 is about 7333.1406641357. The cubic root of 53774952 is about 377.4505047457.

The spelling of 53774952 in words is "fifty-three million, seven hundred seventy-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4157 4312 6468 8314 12471 12936 16628 24942 29099 33256 45727 49884 58198 87297 91454 99768 116396 137181 174594 182908 203693 232792 274362 320089 349188 365816 407386 548724 611079 640178 698376 814772 960267 1097448 1222158 1280356 1629544 1920534 2240623 2444316 2560712 3841068 4481246 4888632 6721869 7682136 8962492 13443738 17924984 26887476 53774952