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42494540 = 22511233829
BaseRepresentation
bin1010001000011…
…0101001001100
32221221221112212
42202012221030
541334311130
64114445552
71024124534
oct242065114
987857485
1042494540
1121a94860
12122938b8
138a5b0ca
1459024c4
153ae5e95
hex2886a4c

42494540 has 48 divisors (see below), whose sum is σ = 97886880. Its totient is φ = 15367680.

The previous prime is 42494539. The next prime is 42494567. The reversal of 42494540 is 4549424.

It is a junction number, because it is equal to n+sod(n) for n = 42494497 and 42494506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50846 + ... + 51674.

It is an arithmetic number, because the mean of its divisors is an integer number (2039310).

Almost surely, 242494540 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 42494540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48943440).

42494540 is an abundant number, since it is smaller than the sum of its proper divisors (55392340).

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

42494540 is a wasteful number, since it uses less digits than its factorization.

42494540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 42494540 is about 6518.7836288682. The cubic root of 42494540 is about 348.9616572956.

Subtracting from 42494540 its reverse (4549424), we obtain a triangular number (37945116 = T8711).

It can be divided in two parts, 42494 and 540, that added together give a palindrome (43034).

The spelling of 42494540 in words is "forty-two million, four hundred ninety-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 233 466 829 932 1165 1658 2330 2563 3316 4145 4660 5126 8290 9119 10252 12815 16580 18238 25630 36476 45595 51260 91190 182380 193157 386314 772628 965785 1931570 2124727 3863140 4249454 8498908 10623635 21247270 42494540