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42284040 = 2335352367
BaseRepresentation
bin1010000101001…
…1010000001000
32221120020210120
42201103100020
541311042130
64110143240
71022260041
oct241232010
987506716
1042284040
1121960697
12121b1b20
1389b6356
1458898c8
153aa3910
hex2853408

42284040 has 32 divisors (see below), whose sum is σ = 126852480. Its totient is φ = 11275712.

The previous prime is 42284017. The next prime is 42284057. The reversal of 42284040 is 4048224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42284040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176064 + ... + 176303.

It is an arithmetic number, because the mean of its divisors is an integer number (3964140).

Almost surely, 242284040 is an apocalyptic number.

42284040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42284040 is an abundant number, since it is smaller than the sum of its proper divisors (84568440).

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

42284040 is a wasteful number, since it uses less digits than its factorization.

42284040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352381 (or 352377 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 42284040 is about 6502.6179343400. The cubic root of 42284040 is about 348.3845003678.

The spelling of 42284040 in words is "forty-two million, two hundred eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 352367 704734 1057101 1409468 1761835 2114202 2818936 3523670 4228404 5285505 7047340 8456808 10571010 14094680 21142020 42284040