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5241380800 = 265231105673
BaseRepresentation
bin1001110000110100…
…10001111111000000
3111112021120201202211
410320122101333000
541213243141200
62224032551504
7243613000405
oct47032217700
914467521684
105241380800
11224a693a77
1210233b2594
13656b74076
1437a1762ac
1520a236aba
hex138691fc0

5241380800 has 84 divisors (see below), whose sum is σ = 13313233216. Its totient is φ = 2028902400.

The previous prime is 5241380797. The next prime is 5241380819. The reversal of 5241380800 is 80831425.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3237 + ... + 102436.

Almost surely, 25241380800 is an apocalyptic number.

5241380800 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 5241380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656616608).

5241380800 is an abundant number, since it is smaller than the sum of its proper divisors (8071852416).

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

5241380800 is a wasteful number, since it uses less digits than its factorization.

5241380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105726 (or 105711 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 5241380800 is about 72397.3811681058. The cubic root of 5241380800 is about 1737.0616722917.

The spelling of 5241380800 in words is "five billion, two hundred forty-one million, three hundred eighty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 155 160 200 248 310 320 400 496 620 775 800 992 1240 1550 1600 1984 2480 3100 4960 6200 9920 12400 24800 49600 105673 211346 422692 528365 845384 1056730 1690768 2113460 2641825 3275863 3381536 4226920 5283650 6551726 6763072 8453840 10567300 13103452 16379315 16907680 21134600 26206904 32758630 33815360 42269200 52413808 65517260 81896575 84538400 104827616 131034520 163793150 169076800 209655232 262069040 327586300 524138080 655172600 1048276160 1310345200 2620690400 5241380800