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362990138 = 27241611481
BaseRepresentation
bin10101101000101…
…100101000111010
3221022000210212012
4111220230220322
51220411141023
6100004045522
711665236200
oct2550545072
9838023765
10362990138
11176997955
12a16938a2
135a283a84
14362cd070
1521d02978
hex15a2ca3a

362990138 has 48 divisors (see below), whose sum is σ = 659910888. Its totient is φ = 149184000.

The previous prime is 362990101. The next prime is 362990143. The reversal of 362990138 is 831099263.

It can be written as a sum of positive squares in 4 ways, for example, as 101747569 + 261242569 = 10087^2 + 16163^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 362990095 and 362990104.

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, 244358 + ... + 245838.

Almost surely, 2362990138 is an apocalyptic number.

362990138 is a deficient number, since it is larger than the sum of its proper divisors (296920750).

362990138 is a wasteful number, since it uses less digits than its factorization.

362990138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 362990138 is about 19052.3000711200. The cubic root of 362990138 is about 713.3427888130.

The spelling of 362990138 in words is "three hundred sixty-two million, nine hundred ninety thousand, one hundred thirty-eight".

Divisors: 1 2 7 14 41 49 61 82 98 122 287 427 574 854 1481 2009 2501 2962 2989 4018 5002 5978 10367 17507 20734 35014 60721 72569 90341 121442 122549 145138 180682 245098 425047 632387 850094 1264774 2975329 3703981 4426709 5950658 7407962 8853418 25927867 51855734 181495069 362990138