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42193932 = 223111718803
BaseRepresentation
bin1010000011110…
…1010000001100
32221101200012020
42200331100030
541300201212
64104210140
71021433244
oct240752014
987350166
1042193932
11218a9a20
1212169950
138984331
145864b24
153a86d8c
hex283d40c

42193932 has 48 divisors (see below), whose sum is σ = 113726592. Its totient is φ = 12033280.

The previous prime is 42193919. The next prime is 42193967. The reversal of 42193932 is 23939124.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42193893 and 42193902.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7158 + ... + 11645.

It is an arithmetic number, because the mean of its divisors is an integer number (2369304).

Almost surely, 242193932 is an apocalyptic number.

It is an amenable number.

42193932 is an abundant number, since it is smaller than the sum of its proper divisors (71532660).

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

42193932 is a wasteful number, since it uses less digits than its factorization.

42193932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18838 (or 18836 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 42193932 is about 6495.6856451032. The cubic root of 42193932 is about 348.1368532956.

The spelling of 42193932 in words is "forty-two million, one hundred ninety-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 18803 37606 56409 75212 112818 206833 225636 319651 413666 620499 639302 827332 958953 1240998 1278604 1917906 2481996 3516161 3835812 7032322 10548483 14064644 21096966 42193932