Search a number
-
+
52451352400 = 24522634571091
BaseRepresentation
bin110000110110010110…
…000001111101010000
312000101102110202221111
4300312112001331100
51324410021234100
640032410303104
73534536065516
oct606626017520
9160342422844
1052451352400
112027646a427
12a1b9a27a94
134c3b8984c5
14277811a4b6
15156ebb16ba
hexc36581f50

52451352400 has 120 divisors (see below), whose sum is σ = 126886503744. Its totient is φ = 20835916800.

The previous prime is 52451352397. The next prime is 52451352467. The reversal of 52451352400 is 425315425.

It is a super-2 number, since 2×524513524002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48075855 + ... + 48076945.

Almost surely, 252451352400 is an apocalyptic number.

52451352400 is a gapful number since it is divisible by the number (50) 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 52451352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63443251872).

52451352400 is an abundant number, since it is smaller than the sum of its proper divisors (74435151344).

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

52451352400 is a wasteful number, since it uses less digits than its factorization.

52451352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 52451352400 its reverse (425315425), we get a palindrome (52876667825).

The spelling of 52451352400 in words is "fifty-two billion, four hundred fifty-one million, three hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 263 400 457 526 914 1052 1091 1315 1828 2104 2182 2285 2630 3656 4208 4364 4570 5260 5455 6575 7312 8728 9140 10520 10910 11425 13150 17456 18280 21040 21820 22850 26300 27275 36560 43640 45700 52600 54550 87280 91400 105200 109100 120191 182800 218200 240382 286933 436400 480764 498587 573866 600955 961528 997174 1147732 1201910 1434665 1923056 1994348 2295464 2403820 2492935 2869330 3004775 3988696 4590928 4807640 4985870 5738660 6009550 7173325 7977392 9615280 9971740 11477320 12019100 12464675 14346650 19943480 22954640 24038200 24929350 28693300 39886960 48076400 49858700 57386600 99717400 114773200 131128381 199434800 262256762 524513524 655641905 1049027048 1311283810 2098054096 2622567620 3278209525 5245135240 6556419050 10490270480 13112838100 26225676200 52451352400