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2469864342 = 231125364189
BaseRepresentation
bin1001001100110111…
…0010001110010110
320101010111002221010
42103031302032112
520024241124332
61045025433050
7115130333451
oct22315621626
96333432833
102469864342
1110581a0700
1258b19b786
1330490a7ba
14196048498
15e6c769cc
hex93372396

2469864342 has 48 divisors (see below), whose sum is σ = 5532150960. Its totient is φ = 734310720.

The previous prime is 2469864337. The next prime is 2469864491. The reversal of 2469864342 is 2434689642.

2469864342 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24698643422 = 12200459735766185928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2469864291 and 2469864300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6384 + ... + 70572.

It is an arithmetic number, because the mean of its divisors is an integer number (115253145).

Almost surely, 22469864342 is an apocalyptic number.

2469864342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2469864342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766075480).

2469864342 is an abundant number, since it is smaller than the sum of its proper divisors (3062286618).

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

2469864342 is a wasteful number, since it uses less digits than its factorization.

2469864342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64269 (or 64258 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The square root of 2469864342 is about 49697.7297469412. The cubic root of 2469864342 is about 1351.7333641261.

The spelling of 2469864342 in words is "two billion, four hundred sixty-nine million, eight hundred sixty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 53 66 106 121 159 242 318 363 583 726 1166 1749 3498 6413 12826 19239 38478 64189 128378 192567 385134 706079 1412158 2118237 3402017 4236474 6804034 7766869 10206051 15533738 20412102 23300607 37422187 46601214 74844374 112266561 224533122 411644057 823288114 1234932171 2469864342