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535112292 = 22311132910753
BaseRepresentation
bin11111111001010…
…010101001100100
31101021220112001210
4133321102221210
52043442043132
6125033151420
716155244101
oct3771225144
91337815053
10535112292
11255069870
1212b25b570
1386b29cc0
14510d5aa8
1531ea1bcc
hex1fe52a64

535112292 has 96 divisors (see below), whose sum is σ = 1517604480. Its totient is φ = 144506880.

The previous prime is 535112269. The next prime is 535112299. The reversal of 535112292 is 292211535.

It is not an unprimeable number, because it can be changed into a prime (535112299) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44388 + ... + 55140.

It is an arithmetic number, because the mean of its divisors is an integer number (15808380).

Almost surely, 2535112292 is an apocalyptic number.

535112292 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535112292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758802240).

535112292 is an abundant number, since it is smaller than the sum of its proper divisors (982492188).

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

535112292 is a wasteful number, since it uses less digits than its factorization.

535112292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10813 (or 10811 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 535112292 is about 23132.4942883382. The cubic root of 535112292 is about 811.8609309101.

The spelling of 535112292 in words is "five hundred thirty-five million, one hundred twelve thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 44 52 58 66 78 87 116 132 143 156 174 286 319 348 377 429 572 638 754 858 957 1131 1276 1508 1716 1914 2262 3828 4147 4524 8294 10753 12441 16588 21506 24882 32259 43012 49764 64518 118283 129036 139789 236566 279578 311837 354849 419367 473132 559156 623674 709698 838734 935511 1247348 1419396 1537679 1677468 1871022 3075358 3430207 3742044 4053881 4613037 6150716 6860414 8107762 9226074 10290621 12161643 13720828 16215524 18452148 20581242 24323286 41162484 44592691 48646572 89185382 133778073 178370764 267556146 535112292