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253020042 = 232111277879
BaseRepresentation
bin11110001010011…
…00011110001010
3122122002202020200
433011030132022
51004233120132
641035033030
76161430522
oct1705143612
9578082220
10253020042
1111a906780
127089b776
134055c202
1425864682
151732dd7c
hexf14c78a

253020042 has 24 divisors (see below), whose sum is σ = 598047840. Its totient is φ = 76672680.

The previous prime is 253020013. The next prime is 253020043. The reversal of 253020042 is 240020352.

253020042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 253019997 and 253020024.

It is not an unprimeable number, because it can be changed into a prime (253020043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 638742 + ... + 639137.

It is an arithmetic number, because the mean of its divisors is an integer number (24918660).

Almost surely, 2253020042 is an apocalyptic number.

253020042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

253020042 is an abundant number, since it is smaller than the sum of its proper divisors (345027798).

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

253020042 is a wasteful number, since it uses less digits than its factorization.

253020042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277898 (or 1277895 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 253020042 is about 15906.6037229825. The cubic root of 253020042 is about 632.4870547846.

Adding to 253020042 its reverse (240020352), we get a palindrome (493040394).

The spelling of 253020042 in words is "two hundred fifty-three million, twenty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1277879 2555758 3833637 7667274 11500911 14056669 23001822 28113338 42170007 84340014 126510021 253020042