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52313856 = 283737263
BaseRepresentation
bin1100011110001…
…1111100000000
310122102211010020
43013203330000
5101343020411
65105133440
71203442350
oct307437400
9118384106
1052313856
11275911a1
121562a280
13aab865a
146d3ab60
1548d5606
hex31e3f00

52313856 has 144 divisors (see below), whose sum is σ = 164043264. Its totient is φ = 14487552.

The previous prime is 52313831. The next prime is 52313857. The reversal of 52313856 is 65831325.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 (52313857) 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, 198781 + ... + 199043.

Almost surely, 252313856 is an apocalyptic number.

52313856 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 52313856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82021632).

52313856 is an abundant number, since it is smaller than the sum of its proper divisors (111729408).

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

52313856 is a wasteful number, since it uses less digits than its factorization.

52313856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 52313856 is about 7232.8318105705. The cubic root of 52313856 is about 374.0005528698. Note that the first 3 decimals are identical.

The spelling of 52313856 in words is "fifty-two million, three hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 263 296 336 384 444 448 518 526 592 672 768 777 789 888 896 1036 1052 1184 1344 1554 1578 1776 1792 1841 2072 2104 2368 2688 3108 3156 3552 3682 4144 4208 4736 5376 5523 6216 6312 7104 7364 8288 8416 9472 9731 11046 12432 12624 14208 14728 16576 16832 19462 22092 24864 25248 28416 29193 29456 33152 33664 38924 44184 49728 50496 58386 58912 66304 67328 68117 77848 88368 99456 100992 116772 117824 136234 155696 176736 198912 201984 204351 233544 235648 272468 311392 353472 408702 467088 471296 544936 622784 706944 817404 934176 1089872 1245568 1413888 1634808 1868352 2179744 2491136 3269616 3736704 4359488 6539232 7473408 8718976 13078464 17437952 26156928 52313856