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5437944750 = 235372114909
BaseRepresentation
bin1010001000010000…
…00111001110101110
3112000222110012211010
411010020013032232
542114103213000
62255334010050
7251520524220
oct50410071656
915028405733
105437944750
11234063a417
1210791a6926
136887c73b4
14398302410
1521c612d50
hex1442073ae

5437944750 has 128 divisors (see below), whose sum is σ = 15588817920. Its totient is φ = 1236816000.

The previous prime is 5437944739. The next prime is 5437944779. The reversal of 5437944750 is 574497345.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5437944750.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1105296 + ... + 1110204.

It is an arithmetic number, because the mean of its divisors is an integer number (121787640).

Almost surely, 25437944750 is an apocalyptic number.

5437944750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5437944750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7794408960).

5437944750 is an abundant number, since it is smaller than the sum of its proper divisors (10150873170).

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

5437944750 is a wasteful number, since it uses less digits than its factorization.

5437944750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5147 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The square root of 5437944750 is about 73742.4216445324. The cubic root of 5437944750 is about 1758.5103560584.

The spelling of 5437944750 in words is "five billion, four hundred thirty-seven million, nine hundred forty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 211 250 350 375 422 525 633 750 875 1050 1055 1266 1477 1750 2110 2625 2954 3165 4431 4909 5250 5275 6330 7385 8862 9818 10550 14727 14770 15825 22155 24545 26375 29454 31650 34363 36925 44310 49090 52750 68726 73635 73850 79125 103089 110775 122725 147270 158250 171815 184625 206178 221550 245450 343630 368175 369250 515445 553875 613625 736350 859075 1030890 1035799 1107750 1227250 1718150 1840875 2071598 2577225 3107397 3681750 4295375 5154450 5178995 6214794 7250593 8590750 10357990 12886125 14501186 15536985 21751779 25772250 25894975 31073970 36252965 43503558 51789950 72505930 77684925 108758895 129474875 155369850 181264825 217517790 258949750 362529650 388424625 543794475 776849250 906324125 1087588950 1812648250 2718972375 5437944750