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5308544440 = 23517231312591
BaseRepresentation
bin1001111000110100…
…11111010110111000
3111200221221222222001
410330122133112320
541332441410230
62234432310344
7245356611643
oct47432372670
914627858861
105308544440
112284598011
1210419a23b4
13667a5b874
1438505aa5a
152110a20ca
hex13c69f5b8

5308544440 has 128 divisors (see below), whose sum is σ = 13302558720. Its totient is φ = 1896294400.

The previous prime is 5308544429. The next prime is 5308544441. The reversal of 5308544440 is 444458035.

It is a self number, because there is not a number n which added to its sum of digits gives 5308544440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5308544441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2047545 + ... + 2050135.

It is an arithmetic number, because the mean of its divisors is an integer number (103926240).

Almost surely, 25308544440 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 5308544440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651279360).

5308544440 is an abundant number, since it is smaller than the sum of its proper divisors (7994014280).

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

5308544440 is a wasteful number, since it uses less digits than its factorization.

5308544440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

The square root of 5308544440 is about 72859.7587149450. The cubic root of 5308544440 is about 1744.4498381948.

The spelling of 5308544440 in words is "five billion, three hundred eight million, five hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 131 136 170 184 230 262 340 391 460 524 655 680 782 920 1048 1310 1564 1955 2227 2591 2620 3013 3128 3910 4454 5182 5240 6026 7820 8908 10364 11135 12052 12955 15065 15640 17816 20728 22270 24104 25910 30130 44047 44540 51221 51820 59593 60260 88094 89080 102442 103640 119186 120520 176188 204884 220235 238372 256105 297965 339421 352376 409768 440470 476744 512210 595930 678842 880940 1013081 1024420 1191860 1357684 1697105 1761880 2026162 2048840 2383720 2715368 3394210 4052324 5065405 5770157 6788420 7806683 8104648 10130810 11540314 13576840 15613366 20261620 23080628 28850785 31226732 39033415 40523240 46161256 57701570 62453464 78066830 115403140 132713611 156133660 230806280 265427222 312267320 530854444 663568055 1061708888 1327136110 2654272220 5308544440