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5056755200 = 2952756437
BaseRepresentation
bin1001011010110011…
…11111011000000000
3111001102011210001122
410231121333120000
540324012131300
62153435451412
7236211465350
oct45531773000
914042153048
105056755200
112165452032
12b915b6b68
13627840953
1435d836b60
151e8e17c85
hex12d67f600

5056755200 has 120 divisors (see below), whose sum is σ = 14318546352. Its totient is φ = 1733713920.

The previous prime is 5056755181. The next prime is 5056755203. The reversal of 5056755200 is 25576505.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5056755203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61382 + ... + 117818.

Almost surely, 25056755200 is an apocalyptic number.

5056755200 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 5056755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7159273176).

5056755200 is an abundant number, since it is smaller than the sum of its proper divisors (9261791152).

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

5056755200 is an equidigital number, since it uses as much as digits as its factorization.

5056755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56472 (or 56451 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 35.

The square root of 5056755200 is about 71110.8655551316. The cubic root of 5056755200 is about 1716.4216212684.

The spelling of 5056755200 in words is "five billion, fifty-six million, seven hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5600 6400 8960 11200 12800 17920 22400 44800 56437 89600 112874 225748 282185 395059 451496 564370 790118 902992 1128740 1410925 1580236 1805984 1975295 2257480 2821850 3160472 3611968 3950590 4514960 5643700 6320944 7223936 7901180 9029920 9876475 11287400 12641888 14447872 15802360 18059840 19752950 22574800 25283776 28895744 31604720 36119680 39505900 45149600 50567552 63209440 72239360 79011800 90299200 101135104 126418880 144478720 158023600 180598400 202270208 252837760 316047200 361196800 505675520 632094400 722393600 1011351040 1264188800 2528377600 5056755200