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61016742 = 23231432543
BaseRepresentation
bin1110100011000…
…0101010100110
311020210222020100
43220300222212
5111110013432
610015444530
71340430243
oct350605246
9136728210
1061016742
1131495866
1218526746
13c8449a7
1481645ca
15555407c
hex3a30aa6

61016742 has 48 divisors (see below), whose sum is σ = 139696128. Its totient is φ = 19217520.

The previous prime is 61016719. The next prime is 61016743. The reversal of 61016742 is 24761016.

61016742 is a `hidden beast` number, since 610 + 1 + 6 + 7 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61016743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22723 + ... + 25265.

It is an arithmetic number, because the mean of its divisors is an integer number (2910336).

Almost surely, 261016742 is an apocalyptic number.

61016742 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 61016742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69848064).

61016742 is an abundant number, since it is smaller than the sum of its proper divisors (78679386).

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

61016742 is a wasteful number, since it uses less digits than its factorization.

61016742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 61016742 is about 7811.3213990976. The cubic root of 61016742 is about 393.6857285875.

Adding to 61016742 its reverse (24761016), we get a palindrome (85777758).

The spelling of 61016742 in words is "sixty-one million, sixteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 31 43 62 86 93 129 186 258 279 387 558 774 1333 2543 2666 3999 5086 7629 7998 11997 15258 22887 23994 45774 78833 109349 157666 218698 236499 328047 472998 656094 709497 984141 1418994 1968282 3389819 6779638 10169457 20338914 30508371 61016742