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42965496 = 23327163523
BaseRepresentation
bin1010001111100…
…1100111111000
32222211212120200
42203321213320
541444343441
64132522200
71031125560
oct243714770
988755520
1042965496
1122286682
1212480360
138b94592
1459c5da0
153b8a7b6
hex28f99f8

42965496 has 96 divisors (see below), whose sum is σ = 134060160. Its totient is φ = 12177216.

The previous prime is 42965459. The next prime is 42965509. The reversal of 42965496 is 69456924.

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 23 ways as a sum of consecutive naturals, for example, 81891 + ... + 82413.

It is an arithmetic number, because the mean of its divisors is an integer number (1396460).

Almost surely, 242965496 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 42965496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67030080).

42965496 is an abundant number, since it is smaller than the sum of its proper divisors (91094664).

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

42965496 is a wasteful number, since it uses less digits than its factorization.

42965496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 698 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 42965496 is about 6554.8070909829. The cubic root of 42965496 is about 350.2460745708.

The spelling of 42965496 in words is "forty-two million, nine hundred sixty-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 163 168 252 326 489 504 523 652 978 1046 1141 1304 1467 1569 1956 2092 2282 2934 3138 3423 3661 3912 4184 4564 4707 5868 6276 6846 7322 9128 9414 10269 10983 11736 12552 13692 14644 18828 20538 21966 27384 29288 32949 37656 41076 43932 65898 82152 85249 87864 131796 170498 255747 263592 340996 511494 596743 681992 767241 1022988 1193486 1534482 1790229 2045976 2386972 3068964 3580458 4773944 5370687 6137928 7160916 10741374 14321832 21482748 42965496