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5091447200 = 255271575791
BaseRepresentation
bin1001011110111100…
…10101000110100000
3111010211110022112112
410233132111012200
540411402302300
62201115214452
7240112405250
oct45736250640
914124408475
105091447200
112182a97704
12ba1147428
13631a99468
143642a7960
151ebebbe35
hex12f7951a0

5091447200 has 144 divisors (see below), whose sum is σ = 14298084864. Its totient is φ = 1734220800.

The previous prime is 5091447131. The next prime is 5091447209. The reversal of 5091447200 is 27441905.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5091447209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876305 + ... + 882095.

It is an arithmetic number, because the mean of its divisors is an integer number (99292256).

Almost surely, 25091447200 is an apocalyptic number.

5091447200 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 5091447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149042432).

5091447200 is an abundant number, since it is smaller than the sum of its proper divisors (9206637664).

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

5091447200 is a wasteful number, since it uses less digits than its factorization.

5091447200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5975 (or 5962 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 5091447200 is about 71354.3775811968. The cubic root of 5091447200 is about 1720.3378640410.

The spelling of 5091447200 in words is "five billion, ninety-one million, four hundred forty-seven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 157 160 175 200 224 280 314 350 400 560 628 700 785 800 1099 1120 1256 1400 1570 2198 2512 2800 3140 3925 4396 5024 5495 5600 5791 6280 7850 8792 10990 11582 12560 15700 17584 21980 23164 25120 27475 28955 31400 35168 40537 43960 46328 54950 57910 62800 81074 87920 92656 109900 115820 125600 144775 162148 175840 185312 202685 219800 231640 289550 324296 405370 439600 463280 579100 648592 810740 879200 909187 926560 1013425 1158200 1297184 1621480 1818374 2026850 2316400 3242960 3636748 4053700 4545935 4632800 6364309 6485920 7273496 8107400 9091870 12728618 14546992 16214800 18183740 22729675 25457236 29093984 31821545 32429600 36367480 45459350 50914472 63643090 72734960 90918700 101828944 127286180 145469920 159107725 181837400 203657888 254572360 318215450 363674800 509144720 636430900 727349600 1018289440 1272861800 2545723600 5091447200