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53682264 = 2334372239
BaseRepresentation
bin1100110011001…
…0000001011000
310202000100020000
43030302001120
5102220313024
65154333000
71221202026
oct314620130
9122010200
1053682264
1128336309
1215b8a160
13b17746c
1471b5716
154aa5cc9
hex3332058

53682264 has 80 divisors (see below), whose sum is σ = 154492800. Its totient is φ = 17402688.

The previous prime is 53682263. The next prime is 53682281. The reversal of 53682264 is 46228635.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53682263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22857 + ... + 25095.

It is an arithmetic number, because the mean of its divisors is an integer number (1931160).

Almost surely, 253682264 is an apocalyptic number.

53682264 is a gapful number since it is divisible by the number (54) 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 53682264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77246400).

53682264 is an abundant number, since it is smaller than the sum of its proper divisors (100810536).

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

53682264 is a wasteful number, since it uses less digits than its factorization.

53682264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2281 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 53682264 is about 7326.8181361352. The cubic root of 53682264 is about 377.2335186409.

The spelling of 53682264 in words is "fifty-three million, six hundred eighty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2239 2664 2997 3996 4478 5994 6717 7992 8956 11988 13434 17912 20151 23976 26868 40302 53736 60453 80604 82843 120906 161208 165686 181359 241812 248529 331372 362718 483624 497058 662744 725436 745587 994116 1450872 1491174 1988232 2236761 2982348 4473522 5964696 6710283 8947044 13420566 17894088 26841132 53682264