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42979356 = 22337139409
BaseRepresentation
bin1010001111110…
…1000000011100
32222212120121000
42203331000130
542000314411
64133110300
71031214150
oct243750034
988776530
1042979356
1122296032
1212488390
138b9a994
1459cb060
153b8e956
hex28fd01c

42979356 has 96 divisors (see below), whose sum is σ = 128576000. Its totient is φ = 12161664.

The previous prime is 42979301. The next prime is 42979367. The reversal of 42979356 is 65397924.

It is a happy number.

42979356 is a `hidden beast` number, since 4 + 297 + 9 + 356 = 666.

Its product of digits (408240) is a multiple of the sum of its prime divisors (560).

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104880 + ... + 105288.

Almost surely, 242979356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42979356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64288000).

42979356 is an abundant number, since it is smaller than the sum of its proper divisors (85596644).

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

42979356 is a wasteful number, since it uses less digits than its factorization.

42979356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 42979356 is about 6555.8642450862. The cubic root of 42979356 is about 350.2837318319.

The spelling of 42979356 in words is "forty-two million, nine hundred seventy-nine thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 139 189 252 278 378 409 417 556 756 818 834 973 1227 1251 1636 1668 1946 2454 2502 2863 2919 3681 3753 3892 4908 5004 5726 5838 7362 7506 8589 8757 11043 11452 11676 14724 15012 17178 17514 22086 25767 26271 34356 35028 44172 51534 52542 56851 77301 103068 105084 113702 154602 170553 227404 309204 341106 397957 511659 682212 795914 1023318 1193871 1534977 1591828 2046636 2387742 3069954 3581613 4775484 6139908 7163226 10744839 14326452 21489678 42979356