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253016742 = 231124115907
BaseRepresentation
bin11110001010010…
…11101010100110
3122122002120201110
433011023222212
51004233013432
641035005450
76161415066
oct1705135246
9578076643
10253016742
1111a904250
1270899886
134055a864
14258633a6
151732cdcc
hexf14baa6

253016742 has 32 divisors (see below), whose sum is σ = 554361984. Its totient is φ = 76348800.

The previous prime is 253016741. The next prime is 253016789. The reversal of 253016742 is 247610352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253016741) 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, 7953 + ... + 23859.

It is an arithmetic number, because the mean of its divisors is an integer number (17323812).

Almost surely, 2253016742 is an apocalyptic number.

253016742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 15906×15907.

253016742 is an abundant number, since it is smaller than the sum of its proper divisors (301345242).

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

253016742 is a wasteful number, since it uses less digits than its factorization.

253016742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16164.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 253016742 is about 15906.4999921416. The cubic root of 253016742 is about 632.4843050468.

The spelling of 253016742 in words is "two hundred fifty-three million, sixteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 241 482 723 1446 2651 5302 7953 15906 15907 31814 47721 95442 174977 349954 524931 1049862 3833587 7667174 11500761 23001522 42169457 84338914 126508371 253016742