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1356042492 = 223374434049
BaseRepresentation
bin101000011010011…
…1001000011111100
310111111122002121000
41100310321003330
510234121324432
6342320410300
745414112440
oct12064710374
93444562530
101356042492
116364a5882
1231a176990
13187c2a80c
14cc14c820
157e0b057c
hex50d390fc

1356042492 has 96 divisors (see below), whose sum is σ = 4027968000. Its totient is φ = 386470656.

The previous prime is 1356042491. The next prime is 1356042497. The reversal of 1356042492 is 2942406531.

It is a happy number.

1356042492 is a `hidden beast` number, since 1 + 3 + 5 + 604 + 2 + 49 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356042491) 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, 332884 + ... + 336932.

It is an arithmetic number, because the mean of its divisors is an integer number (41958000).

Almost surely, 21356042492 is an apocalyptic number.

1356042492 is a gapful number since it is divisible by the number (12) 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 1356042492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013984000).

1356042492 is an abundant number, since it is smaller than the sum of its proper divisors (2671925508).

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

1356042492 is a wasteful number, since it uses less digits than its factorization.

1356042492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1356042492 is about 36824.4822366860. The cubic root of 1356042492 is about 1106.8559385390.

The spelling of 1356042492 in words is "one billion, three hundred fifty-six million, forty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 443 756 886 1329 1772 2658 3101 3987 4049 5316 6202 7974 8098 9303 11961 12147 12404 15948 16196 18606 23922 24294 27909 28343 36441 37212 47844 48588 55818 56686 72882 83727 85029 109323 111636 113372 145764 167454 170058 218646 255087 334908 340116 437292 510174 765261 1020348 1530522 1793707 3061044 3587414 5381121 7174828 10762242 12555949 16143363 21524484 25111898 32286726 37667847 48430089 50223796 64573452 75335694 96860178 113003541 150671388 193720356 226007082 339010623 452014164 678021246 1356042492