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661832442 = 232229307523
BaseRepresentation
bin100111011100101…
…100001011111010
31201010100120102200
4213130230023322
52323412114232
6145401211030
722254324435
oct4734541372
91633316380
10661832442
1130a650567
12165790a76
13a716793b
1463c8081c
153d18377c
hex2772c2fa

661832442 has 48 divisors (see below), whose sum is σ = 1447686240. Its totient is φ = 218513376.

The previous prime is 661832419. The next prime is 661832443. The reversal of 661832442 is 244238166.

661832442 is a `hidden beast` number, since 6 + 618 + 32 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 661832397 and 661832406.

It is not an unprimeable number, because it can be changed into a prime (661832443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1265193 + ... + 1265715.

It is an arithmetic number, because the mean of its divisors is an integer number (30160130).

Almost surely, 2661832442 is an apocalyptic number.

661832442 is an abundant number, since it is smaller than the sum of its proper divisors (785853798).

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

661832442 is a wasteful number, since it uses less digits than its factorization.

661832442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1064 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 661832442 is about 25726.1042911670. The cubic root of 661832442 is about 871.4637981255.

It can be divided in two parts, 6618 and 32442, that added together give a triangular number (39060 = T279).

The spelling of 661832442 in words is "six hundred sixty-one million, eight hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 229 307 458 523 614 687 921 1046 1374 1569 1842 2061 2763 3138 4122 4707 5526 9414 70303 119767 140606 160561 210909 239534 321122 359301 421818 481683 632727 718602 963366 1077903 1265454 1445049 2155806 2890098 36768469 73536938 110305407 220610814 330916221 661832442