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537913344 = 2113293019
BaseRepresentation
bin100000000011111…
…110100000000000
31101111011211101110
4200003332200000
52100201211334
6125213203320
716221121323
oct4003764000
91344154343
10537913344
11256702291
12130190540
138759ac27
14516247ba
1532356ae9
hex200fe800

537913344 has 96 divisors (see below), whose sum is σ = 1484028000. Its totient is φ = 173064192.

The previous prime is 537913339. The next prime is 537913391. The reversal of 537913344 is 443319735.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176667 + ... + 179685.

It is an arithmetic number, because the mean of its divisors is an integer number (15458625).

Almost surely, 2537913344 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 537913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742014000).

537913344 is an abundant number, since it is smaller than the sum of its proper divisors (946114656).

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

537913344 is a wasteful number, since it uses less digits than its factorization.

537913344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3053 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 537913344 is about 23192.9589315378. The cubic root of 537913344 is about 813.2750318029.

The spelling of 537913344 in words is "five hundred thirty-seven million, nine hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2048 2784 3019 3072 3712 5568 6038 6144 7424 9057 11136 12076 14848 18114 22272 24152 29696 36228 44544 48304 59392 72456 87551 89088 96608 144912 175102 178176 193216 262653 289824 350204 386432 525306 579648 700408 772864 1050612 1159296 1400816 1545728 2101224 2318592 2801632 3091456 4202448 4637184 5603264 6182912 8404896 9274368 11206528 16809792 18548736 22413056 33619584 44826112 67239168 89652224 134478336 179304448 268956672 537913344