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536978928 = 243371911583
BaseRepresentation
bin100000000000011…
…010010111110000
31101102102100121110
4200000122113300
52044431311203
6125141153320
716210150143
oct4000322760
91342370543
10536978928
11256124242
1212b9bb840
1387331815
145146005a
153221ed03
hex2001a5f0

536978928 has 80 divisors (see below), whose sum is σ = 1433051136. Its totient is φ = 173134080.

The previous prime is 536978899. The next prime is 536978977. The reversal of 536978928 is 829879635.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338425 + ... + 340007.

Almost surely, 2536978928 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 536978928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716525568).

536978928 is an abundant number, since it is smaller than the sum of its proper divisors (896072208).

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

536978928 is a wasteful number, since it uses less digits than its factorization.

536978928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1816 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The square root of 536978928 is about 23172.8057860933. The cubic root of 536978928 is about 812.8038421166.

The spelling of 536978928 in words is "five hundred thirty-six million, nine hundred seventy-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 191 222 296 382 444 573 592 764 888 1146 1528 1583 1776 2292 3056 3166 4584 4749 6332 7067 9168 9498 12664 14134 18996 21201 25328 28268 37992 42402 56536 58571 75984 84804 113072 117142 169608 175713 234284 302353 339216 351426 468568 604706 702852 907059 937136 1209412 1405704 1814118 2418824 2811408 3628236 4837648 7256472 11187061 14512944 22374122 33561183 44748244 67122366 89496488 134244732 178992976 268489464 536978928