Search a number
-
+
537078912 = 2739714419
BaseRepresentation
bin100000000000110…
…010110010000000
31101102121102202120
4200000302302000
52044443011122
6125143244240
716211044506
oct4000626200
91342542676
10537078912
11256192377
1212ba49680
1387368196
1451488676
153223e75c
hex20032c80

537078912 has 64 divisors (see below), whose sum is σ = 1441423200. Its totient is φ = 177168384.

The previous prime is 537078889. The next prime is 537078923. The reversal of 537078912 is 219870735.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30039 + ... + 44457.

Almost surely, 2537078912 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 537078912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720711600).

537078912 is an abundant number, since it is smaller than the sum of its proper divisors (904344288).

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

537078912 is a wasteful number, since it uses less digits than its factorization.

537078912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14533 (or 14521 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 537078912 is about 23174.9630420417. The cubic root of 537078912 is about 812.8542862661.

The spelling of 537078912 in words is "five hundred thirty-seven million, seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1164 1552 2328 3104 4656 6208 9312 12416 14419 18624 28838 37248 43257 57676 86514 115352 173028 230704 346056 461408 692112 922816 1384224 1398643 1845632 2768448 2797286 4195929 5536896 5594572 8391858 11189144 16783716 22378288 33567432 44756576 67134864 89513152 134269728 179026304 268539456 537078912