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2146052532 = 2231371193757
BaseRepresentation
bin111111111101010…
…0010100110110100
312112120011202122010
41333322202212310
513343342140112
6552541204220
7104116100631
oct17772424664
95476152563
102146052532
11a01433038
124ba860670
132827c3590
14165037188
15c861263c
hex7fea29b4

2146052532 has 48 divisors (see below), whose sum is σ = 5468625792. Its totient is φ = 651020160.

The previous prime is 2146052509. The next prime is 2146052533. The reversal of 2146052532 is 2352506412.

It is a super-2 number, since 2×21460525322 = 9211082940207222048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2146052532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146052533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85803 + ... + 107954.

It is an arithmetic number, because the mean of its divisors is an integer number (113929704).

Almost surely, 22146052532 is an apocalyptic number.

It is an amenable number.

2146052532 is an abundant number, since it is smaller than the sum of its proper divisors (3322573260).

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

2146052532 is a wasteful number, since it uses less digits than its factorization.

2146052532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193848 (or 193846 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2146052532 is about 46325.5062789388. The cubic root of 2146052532 is about 1289.8724974637.

Adding to 2146052532 its reverse (2352506412), we get a palindrome (4498558944).

The spelling of 2146052532 in words is "two billion, one hundred forty-six million, fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 3692 5538 11076 193757 387514 581271 775028 1162542 2325084 2518841 5037682 7556523 10075364 13756747 15113046 27513494 30226092 41270241 55026988 82540482 165080964 178837711 357675422 536513133 715350844 1073026266 2146052532