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537879552 = 2103725013
BaseRepresentation
bin100000000011110…
…110010000000000
31101111010010000220
4200003312100000
52100144121202
6125212343040
716220620650
oct4003662000
91344103026
10537879552
11256689961
12130174a80
1387588732
1451616360
153234babc
hex200f6400

537879552 has 88 divisors (see below), whose sum is σ = 1638517056. Its totient is φ = 153673728.

The previous prime is 537879547. The next prime is 537879553. The reversal of 537879552 is 255978735.

It is a happy number.

It is a super-3 number, since 3×5378795523 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 537879495 and 537879504.

It is not an unprimeable number, because it can be changed into a prime (537879553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8998 + ... + 34010.

It is an arithmetic number, because the mean of its divisors is an integer number (18619512).

Almost surely, 2537879552 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 537879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819258528).

537879552 is an abundant number, since it is smaller than the sum of its proper divisors (1100637504).

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

537879552 is a wasteful number, since it uses less digits than its factorization.

537879552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25043 (or 25025 counting only the distinct ones).

The product of its digits is 2646000, while the sum is 51.

The square root of 537879552 is about 23192.2304231396. The cubic root of 537879552 is about 813.2580013241.

The spelling of 537879552 in words is "five hundred thirty-seven million, eight hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 25013 50026 75039 100052 150078 175091 200104 300156 350182 400208 525273 600312 700364 800416 1050546 1200624 1400728 1600832 2101092 2401248 2801456 3201664 4202184 4802496 5602912 6403328 8404368 9604992 11205824 12806656 16808736 19209984 22411648 25613312 33617472 38419968 44823296 67234944 76839936 89646592 134469888 179293184 268939776 537879552