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61463142 = 232133137229
BaseRepresentation
bin1110101001110…
…1101001100110
311021122122120200
43222131221212
5111213310032
610033211330
71344266556
oct352355146
9137578520
1061463142
1131770194
1218700b46
13c96cc30
14823d166
1555e147c
hex3a9da66

61463142 has 96 divisors (see below), whose sum is σ = 152705280. Its totient is φ = 17729280.

The previous prime is 61463137. The next prime is 61463147. The reversal of 61463142 is 24136416.

61463142 is a `hidden beast` number, since 61 + 463 + 142 = 666.

It is an interprime number because it is at equal distance from previous prime (61463137) and next prime (61463147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61463147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268284 + ... + 268512.

It is an arithmetic number, because the mean of its divisors is an integer number (1590680).

Almost surely, 261463142 is an apocalyptic number.

61463142 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61463142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76352640).

61463142 is an abundant number, since it is smaller than the sum of its proper divisors (91242138).

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

61463142 is a wasteful number, since it uses less digits than its factorization.

61463142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 315 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 61463142 is about 7839.8432382287. The cubic root of 61463142 is about 394.6434682779.

Adding to 61463142 its reverse (24136416), we get a palindrome (85599558).

It can be divided in two parts, 61 and 463142, that added together give a triangular number (463203 = T962).

The spelling of 61463142 in words is "sixty-one million, four hundred sixty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 31 37 39 62 74 78 93 111 117 186 222 229 234 279 333 403 458 481 558 666 687 806 962 1147 1209 1374 1443 2061 2294 2418 2886 2977 3441 3627 4122 4329 5954 6882 7099 7254 8473 8658 8931 10323 14198 14911 16946 17862 20646 21297 25419 26793 29822 42594 44733 50838 53586 63891 76257 89466 92287 110149 127782 134199 152514 184574 220298 262663 268398 276861 330447 525326 553722 660894 787989 830583 991341 1575978 1661166 1982682 2363967 3414619 4727934 6829238 10243857 20487714 30731571 61463142