Search a number
-
+
52397664 = 2531129259
BaseRepresentation
bin1100011111100…
…0011001100000
310122121002002020
43013320121200
5101403211124
65111021440
71204241604
oct307703140
9118532066
1052397664
1127639160
121566a880
13ab17847
146d5d504
154900379
hex31f8660

52397664 has 144 divisors (see below), whose sum is σ = 158034240. Its totient is φ = 15070720.

The previous prime is 52397633. The next prime is 52397669. The reversal of 52397664 is 46679325.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52397669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888067 + ... + 888125.

It is an arithmetic number, because the mean of its divisors is an integer number (1097460).

Almost surely, 252397664 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 52397664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79017120).

52397664 is an abundant number, since it is smaller than the sum of its proper divisors (105636576).

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

52397664 is a wasteful number, since it uses less digits than its factorization.

52397664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 104 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 52397664 is about 7238.6230734857. The cubic root of 52397664 is about 374.2001654744.

The spelling of 52397664 in words is "fifty-two million, three hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 59 66 87 88 96 116 118 132 174 176 177 232 236 264 319 348 352 354 464 472 528 638 649 696 708 841 928 944 957 1056 1276 1298 1392 1416 1682 1711 1888 1914 1947 2523 2552 2596 2784 2832 3364 3422 3828 3894 5046 5104 5133 5192 5664 6728 6844 7656 7788 9251 10092 10208 10266 10384 13456 13688 15312 15576 18502 18821 20184 20532 20768 26912 27376 27753 30624 31152 37004 37642 40368 41064 49619 54752 55506 56463 62304 74008 75284 80736 82128 99238 111012 112926 148016 148857 150568 164256 198476 222024 225852 296032 297714 301136 396952 444048 451704 545809 595428 602272 793904 888096 903408 1091618 1190856 1587808 1637427 1806816 2183236 2381712 3274854 4366472 4763424 6549708 8732944 13099416 17465888 26198832 52397664