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5251654224 = 243331338839
BaseRepresentation
bin1001110010000010…
…11110001001010000
3111112222220200021000
410321001132021100
541223410413344
62225041102000
7244066216155
oct47101361120
914488820230
105251654224
112255470603
121026927900
1365903020b
1437b68c22c
1520b0b5a69
hex13905e250

5251654224 has 80 divisors (see below), whose sum is σ = 15122742400. Its totient is φ = 1744913664.

The previous prime is 5251654211. The next prime is 5251654249. The reversal of 5251654224 is 4224561525.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115797 + ... + 154635.

It is an arithmetic number, because the mean of its divisors is an integer number (189034280).

Almost surely, 25251654224 is an apocalyptic number.

5251654224 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 5251654224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561371200).

5251654224 is an abundant number, since it is smaller than the sum of its proper divisors (9871088176).

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

5251654224 is a wasteful number, since it uses less digits than its factorization.

5251654224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39169 (or 39157 counting only the distinct ones).

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

The square root of 5251654224 is about 72468.2980619802. The cubic root of 5251654224 is about 1738.1958469788.

The spelling of 5251654224 in words is "five billion, two hundred fifty-one million, six hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 313 432 626 939 1252 1878 2504 2817 3756 5008 5634 7512 8451 11268 15024 16902 22536 33804 38839 45072 67608 77678 116517 135216 155356 233034 310712 349551 466068 621424 699102 932136 1048653 1398204 1864272 2097306 2796408 4194612 5592816 8389224 12156607 16778448 24313214 36469821 48626428 72939642 97252856 109409463 145879284 194505712 218818926 291758568 328228389 437637852 583517136 656456778 875275704 1312913556 1750551408 2625827112 5251654224