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5271236400 = 243524998803
BaseRepresentation
bin1001110100011000…
…01010111100110000
3111121100202112221210
410322030022330300
541243414031100
62231020520120
7244424525103
oct47214127460
914540675853
105271236400
112265525a21
1210313b0040
136600c83c1
1438010873a
1520cb82c50
hex13a30af30

5271236400 has 120 divisors (see below), whose sum is σ = 16921288000. Its totient is φ = 1402686720.

The previous prime is 5271236309. The next prime is 5271236419. The reversal of 5271236400 is 46321725.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 594399 + ... + 603201.

Almost surely, 25271236400 is an apocalyptic number.

5271236400 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 5271236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460644000).

5271236400 is an abundant number, since it is smaller than the sum of its proper divisors (11650051600).

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

5271236400 is a wasteful number, since it uses less digits than its factorization.

5271236400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5271236400 is about 72603.2809176004. The cubic root of 5271236400 is about 1740.3536076161.

The spelling of 5271236400 in words is "five billion, two hundred seventy-one million, two hundred thirty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 499 600 998 1200 1497 1996 2495 2994 3992 4990 5988 7485 7984 8803 9980 11976 12475 14970 17606 19960 23952 24950 26409 29940 35212 37425 39920 44015 49900 52818 59880 70424 74850 88030 99800 105636 119760 132045 140848 149700 176060 199600 211272 220075 264090 299400 352120 422544 440150 528180 598800 660225 704240 880300 1056360 1320450 1760600 2112720 2640900 3521200 4392697 5281800 8785394 10563600 13178091 17570788 21963485 26356182 35141576 43926970 52712364 65890455 70283152 87853940 105424728 109817425 131780910 175707880 210849456 219634850 263561820 329452275 351415760 439269700 527123640 658904550 878539400 1054247280 1317809100 1757078800 2635618200 5271236400