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5254251624 = 233471114203
BaseRepresentation
bin1001110010010110…
…11000010001101000
3111120011210122020000
410321023120101220
541230042022444
62225212503000
7244130254566
oct47113302150
914504718200
105254251624
112256985016
12102777aa60
1365972c53b
1437bb66a36
1520b42a469
hex1392d8468

5254251624 has 80 divisors (see below), whose sum is σ = 14924178720. Its totient is φ = 1726734240.

The previous prime is 5254251623. The next prime is 5254251631. The reversal of 5254251624 is 4261524525.

5254251624 is a `hidden beast` number, since 5 + 2 + 5 + 4 + 25 + 1 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5254251623) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11094 + ... + 103109.

It is an arithmetic number, because the mean of its divisors is an integer number (186552234).

Almost surely, 25254251624 is an apocalyptic number.

5254251624 is a gapful number since it is divisible by the number (54) 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 5254251624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7462089360).

5254251624 is an abundant number, since it is smaller than the sum of its proper divisors (9669927096).

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

5254251624 is a wasteful number, since it uses less digits than its factorization.

5254251624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114292 (or 114279 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 5254251624 is about 72486.2167863657. The cubic root of 5254251624 is about 1738.4823627816.

The spelling of 5254251624 in words is "five billion, two hundred fifty-four million, two hundred fifty-one thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 568 639 648 852 1278 1704 1917 2556 3834 5112 5751 7668 11502 15336 23004 46008 114203 228406 342609 456812 685218 913624 1027827 1370436 2055654 2740872 3083481 4111308 6166962 8108413 8222616 9250443 12333924 16216826 18500886 24325239 24667848 32433652 37001772 48650478 64867304 72975717 74003544 97300956 145951434 194601912 218927151 291902868 437854302 583805736 656781453 875708604 1313562906 1751417208 2627125812 5254251624