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5274984000 = 2635311132953
BaseRepresentation
bin1001110100110100…
…11101111001000000
3111121121210221200210
410322122131321000
541300343442000
62231233114120
7244501424046
oct47232357100
914547727623
105274984000
112267655610
1210326b8940
13660b0b110
14380802396
1520d173350
hex13a69de40

5274984000 has 896 divisors, whose sum is σ = 21568135680. Its totient is φ = 1118208000.

The previous prime is 5274983983. The next prime is 5274984037. The reversal of 5274984000 is 4894725.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5274984000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99527974 + ... + 99528026.

It is an arithmetic number, because the mean of its divisors is an integer number (24071580).

Almost surely, 25274984000 is an apocalyptic number.

5274984000 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 5274984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10784067840).

5274984000 is an abundant number, since it is smaller than the sum of its proper divisors (16293151680).

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

5274984000 is a wasteful number, since it uses less digits than its factorization.

5274984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 5274984000 is about 72629.0850830437. The cubic root of 5274984000 is about 1740.7659463066.

The spelling of 5274984000 in words is "five billion, two hundred seventy-four million, nine hundred eighty-four thousand".