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52463840 = 25511132293
BaseRepresentation
bin1100100000100…
…0100011100000
310122201102212012
43020020203200
5101412320330
65112252052
71204635542
oct310104340
9118642765
1052463840
1127683950
12156a1028
13ab3b9c0
146d79692
154914c95
hex32088e0

52463840 has 96 divisors (see below), whose sum is σ = 145678176. Its totient is φ = 17602560.

The previous prime is 52463839. The next prime is 52463849. The reversal of 52463840 is 4836425.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 52463797 and 52463806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52463849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21734 + ... + 24026.

It is an arithmetic number, because the mean of its divisors is an integer number (1517481).

Almost surely, 252463840 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 52463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72839088).

52463840 is an abundant number, since it is smaller than the sum of its proper divisors (93214336).

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

52463840 is a wasteful number, since it uses less digits than its factorization.

52463840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 52463840 is about 7243.1926662212. The cubic root of 52463840 is about 374.3576321162.

The spelling of 52463840 in words is "fifty-two million, four hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2293 2860 4576 4586 5720 9172 11440 11465 18344 22880 22930 25223 29809 36688 45860 50446 59618 73376 91720 100892 119236 126115 149045 183440 201784 238472 252230 298090 327899 366880 403568 476944 504460 596180 655798 807136 953888 1008920 1192360 1311596 1639495 2017840 2384720 2623192 3278990 4035680 4769440 5246384 6557980 10492768 13115960 26231920 52463840