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537073536 = 2737119699
BaseRepresentation
bin100000000000110…
…001011110000000
31101102121011101110
4200000301132000
52044442323121
6125143203320
716211023026
oct4000613600
91342534343
10537073536
1125618932a
1212ba46540
13873658bc
1451486716
153223cd76
hex20031780

537073536 has 64 divisors (see below), whose sum is σ = 1446768000. Its totient is φ = 176494080.

The previous prime is 537073507. The next prime is 537073573. The reversal of 537073536 is 635370735.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×5370735363 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 537073494 and 537073503.

It is a congruent number.

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, 17415 + ... + 37113.

It is an arithmetic number, because the mean of its divisors is an integer number (22605750).

Almost surely, 2537073536 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 537073536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723384000).

537073536 is an abundant number, since it is smaller than the sum of its proper divisors (909694464).

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

537073536 is a wasteful number, since it uses less digits than its factorization.

537073536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19787 (or 19775 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 39.

The square root of 537073536 is about 23174.8470545115. The cubic root of 537073536 is about 812.8515741139.

The spelling of 537073536 in words is "five hundred thirty-seven million, seventy-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4544 6816 9088 13632 19699 27264 39398 59097 78796 118194 157592 236388 315184 472776 630368 945552 1260736 1398629 1891104 2521472 2797258 3782208 4195887 5594516 7564416 8391774 11189032 16783548 22378064 33567096 44756128 67134192 89512256 134268384 179024512 268536768 537073536