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42996840 = 2335596073
BaseRepresentation
bin1010010000000…
…1010001101000
32222220110120120
42210001101220
542001344330
64133323240
71031316135
oct244012150
988813516
1042996840
11222a8187
1212496520
138ba5923
1459d358c
153b94c10
hex2901468

42996840 has 64 divisors (see below), whose sum is σ = 131198400. Its totient is φ = 11269632.

The previous prime is 42996827. The next prime is 42996841. The reversal of 42996840 is 4869924.

It is a junction number, because it is equal to n+sod(n) for n = 42996792 and 42996801.

It is not an unprimeable number, because it can be changed into a prime (42996841) 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, 4044 + ... + 10116.

It is an arithmetic number, because the mean of its divisors is an integer number (2049975).

Almost surely, 242996840 is an apocalyptic number.

42996840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42996840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65599200).

42996840 is an abundant number, since it is smaller than the sum of its proper divisors (88201560).

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

42996840 is a wasteful number, since it uses less digits than its factorization.

42996840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 42996840 is about 6557.1975721340. The cubic root of 42996840 is about 350.3312238611.

The spelling of 42996840 in words is "forty-two million, nine hundred ninety-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 6073 7080 12146 18219 24292 30365 36438 48584 60730 72876 91095 121460 145752 182190 242920 358307 364380 716614 728760 1074921 1433228 1791535 2149842 2866456 3583070 4299684 5374605 7166140 8599368 10749210 14332280 21498420 42996840