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42988992 = 2634143127
BaseRepresentation
bin1010001111111…
…1010111000000
32222220001210220
42203333113000
542001121432
64133223040
71031254224
oct243772700
988801726
1042988992
11222a22a2
1212491a80
138ba2197
1459d0784
153b9272c
hex28ff5c0

42988992 has 112 divisors (see below), whose sum is σ = 120164352. Its totient is φ = 13547520.

The previous prime is 42988969. The next prime is 42988997. The reversal of 42988992 is 29988924.

Its product of digits (746496) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42988997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338433 + ... + 338559.

It is an arithmetic number, because the mean of its divisors is an integer number (1072896).

Almost surely, 242988992 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 42988992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60082176).

42988992 is an abundant number, since it is smaller than the sum of its proper divisors (77175360).

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

42988992 is a wasteful number, since it uses less digits than its factorization.

42988992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 42988992 is about 6556.5991184455. The cubic root of 42988992 is about 350.3099078238.

The spelling of 42988992 in words is "forty-two million, nine hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 43 48 64 82 86 96 123 127 129 164 172 192 246 254 258 328 344 381 492 508 516 656 688 762 984 1016 1032 1312 1376 1524 1763 1968 2032 2064 2624 2752 3048 3526 3936 4064 4128 5207 5289 5461 6096 7052 7872 8128 8256 10414 10578 10922 12192 14104 15621 16383 20828 21156 21844 24384 28208 31242 32766 41656 42312 43688 56416 62484 65532 83312 84624 87376 112832 124968 131064 166624 169248 174752 223901 249936 262128 333248 338496 349504 447802 499872 524256 671703 895604 999744 1048512 1343406 1791208 2686812 3582416 5373624 7164832 10747248 14329664 21494496 42988992