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5251828880 = 2454711631201
BaseRepresentation
bin1001110010000100…
…01000110010010000
3111120000020112211202
410321002020302100
541223432011010
62225044530332
7244100544314
oct47102106220
914500215752
105251828880
11225557a851
1210269b09a8
1365909186c
1437b6d5b44
1520b0ec6a5
hex139088c90

5251828880 has 80 divisors (see below), whose sum is σ = 12491414784. Its totient is φ = 2052556800.

The previous prime is 5251828873. The next prime is 5251828937. The reversal of 5251828880 is 888281525.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4372280 + ... + 4373480.

Almost surely, 25251828880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5251828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245707392).

5251828880 is an abundant number, since it is smaller than the sum of its proper divisors (7239585904).

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

5251828880 is a wasteful number, since it uses less digits than its factorization.

5251828880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 47.

The square root of 5251828880 is about 72469.5031030295. The cubic root of 5251828880 is about 1738.2151160164.

The spelling of 5251828880 in words is "five billion, two hundred fifty-one million, eight hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1163 1201 1880 2326 2402 3760 4652 4804 5815 6005 9304 9608 11630 12010 18608 19216 23260 24020 46520 48040 54661 56447 93040 96080 109322 112894 218644 225788 273305 282235 437288 451576 546610 564470 874576 903152 1093220 1128940 1396763 2186440 2257880 2793526 4372880 4515760 5587052 6983815 11174104 13967630 22348208 27935260 55870520 65647861 111741040 131295722 262591444 328239305 525182888 656478610 1050365776 1312957220 2625914440 5251828880