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537742380 = 223572295591
BaseRepresentation
bin100000000011010…
…100110000101100
31101110212010212110
4200003110300230
52100130224010
6125205404020
716216510020
oct4003246054
91343763773
10537742380
112565a589a
12130109610
138753b176
14515bc380
1532321120
hex200d4c2c

537742380 has 96 divisors (see below), whose sum is σ = 1728599040. Its totient is φ = 122353920.

The previous prime is 537742357. The next prime is 537742393. The reversal of 537742380 is 83247735.

It is a super-3 number, since 3×5377423803 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93385 + ... + 98975.

It is an arithmetic number, because the mean of its divisors is an integer number (18006240).

Almost surely, 2537742380 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 537742380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864299520).

537742380 is an abundant number, since it is smaller than the sum of its proper divisors (1190856660).

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

537742380 is a wasteful number, since it uses less digits than its factorization.

537742380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 537742380 is about 23189.2729510867. The cubic root of 537742380 is about 813.1888621084.

The spelling of 537742380 in words is "five hundred thirty-seven million, seven hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 229 420 458 687 916 1145 1374 1603 2290 2748 3206 3435 4580 4809 5591 6412 6870 8015 9618 11182 13740 16030 16773 19236 22364 24045 27955 32060 33546 39137 48090 55910 67092 78274 83865 96180 111820 117411 156548 167730 195685 234822 335460 391370 469644 587055 782740 1174110 1280339 2348220 2560678 3841017 5121356 6401695 7682034 8962373 12803390 15364068 17924746 19205085 25606780 26887119 35849492 38410170 44811865 53774238 76820340 89623730 107548476 134435595 179247460 268871190 537742380