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32045442 = 231113417
BaseRepresentation
bin111101000111…
…1100110000010
32020022002002020
41322033212002
531200423232
63102502310
7536244642
oct172174602
966262066
1032045442
11170a8240
12a894996
136840000
144382522
152c2ee2c
hex1e8f982

32045442 has 80 divisors (see below), whose sum is σ = 80199072. Its totient is φ = 8436480.

The previous prime is 32045411. The next prime is 32045473. The reversal of 32045442 is 24454023.

It is an interprime number because it is at equal distance from previous prime (32045411) and next prime (32045473).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1885018 + ... + 1885034.

Almost surely, 232045442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32045442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40099536).

32045442 is an abundant number, since it is smaller than the sum of its proper divisors (48153630).

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

32045442 is a wasteful number, since it uses less digits than its factorization.

32045442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 32045442 is about 5660.8693678621. The cubic root of 32045442 is about 317.6304198942.

Adding to 32045442 its reverse (24454023), we get a palindrome (56499465).

It can be divided in two parts, 3204 and 5442, that added together give a triangular number (8646 = T131).

The spelling of 32045442 in words is "thirty-two million, forty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 169 187 221 286 338 374 429 442 507 561 663 858 1014 1122 1326 1859 2197 2431 2873 3718 4394 4862 5577 5746 6591 7293 8619 11154 13182 14586 17238 24167 28561 31603 37349 48334 57122 63206 72501 74698 85683 94809 112047 145002 171366 189618 224094 314171 410839 485537 628342 821678 942513 971074 1232517 1456611 1885026 2465034 2913222 5340907 10681814 16022721 32045442