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5132472800 = 255271370501
BaseRepresentation
bin1001100011110101…
…10101000111100000
3111020200122122002012
410301322311013200
541002403112200
62205142412052
7241121204360
oct46172650740
914220578065
105132472800
1121a4168864
12bb2a31028
1363a431a70
143699069a0
152008c2a35
hex131eb51e0

5132472800 has 144 divisors (see below), whose sum is σ = 15421325472. Its totient is φ = 1624320000.

The previous prime is 5132472791. The next prime is 5132472811. The reversal of 5132472800 is 82742315.

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

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, 37550 + ... + 108050.

It is an arithmetic number, because the mean of its divisors is an integer number (107092538).

Almost surely, 25132472800 is an apocalyptic number.

5132472800 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 5132472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7710662736).

5132472800 is an abundant number, since it is smaller than the sum of its proper divisors (10288852672).

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

5132472800 is a wasteful number, since it uses less digits than its factorization.

5132472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70541 (or 70528 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 5132472800 is about 71641.2786038887. The cubic root of 5132472800 is about 1724.9461916983.

The spelling of 5132472800 in words is "five billion, one hundred thirty-two million, four hundred seventy-two thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 80 91 100 104 112 130 140 160 175 182 200 208 224 260 280 325 350 364 400 416 455 520 560 650 700 728 800 910 1040 1120 1300 1400 1456 1820 2080 2275 2600 2800 2912 3640 4550 5200 5600 7280 9100 10400 14560 18200 36400 70501 72800 141002 282004 352505 493507 564008 705010 916513 987014 1128016 1410020 1762525 1833026 1974028 2256032 2467535 2820040 3525050 3666052 3948056 4582565 4935070 5640080 6415591 7050100 7332104 7896112 9165130 9870140 11280160 12337675 12831182 14100200 14664208 15792224 18330260 19740280 22912825 24675350 25662364 28200400 29328416 32077955 36660520 39480560 45825650 49350700 51324728 56400800 64155910 73321040 78961120 91651300 98701400 102649456 128311820 146642080 160389775 183302600 197402800 205298912 256623640 320779550 366605200 394805600 513247280 641559100 733210400 1026494560 1283118200 2566236400 5132472800