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46694142 = 2321131949
BaseRepresentation
bin1011001000011…
…1111011111110
310020212022022200
42302013323332
543423203032
64344452330
71104615345
oct262077376
9106768280
1046694142
11243a3000
121377a0a6
13989b791
1462b6b5c
15417547c
hex2c87efe

46694142 has 48 divisors (see below), whose sum is σ = 111337200. Its totient is φ = 14142480.

The previous prime is 46694107. The next prime is 46694143. The reversal of 46694142 is 24149664.

It is a junction number, because it is equal to n+sod(n) for n = 46694097 and 46694106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46694143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22984 + ... + 24932.

It is an arithmetic number, because the mean of its divisors is an integer number (2319525).

Almost surely, 246694142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46694142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55668600).

46694142 is an abundant number, since it is smaller than the sum of its proper divisors (64643058).

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

46694142 is a wasteful number, since it uses less digits than its factorization.

46694142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1965 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 46694142 is about 6833.3112032162. The cubic root of 46694142 is about 360.0980751307.

The spelling of 46694142 in words is "forty-six million, six hundred ninety-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 1949 2178 2662 3898 3993 5847 7986 11694 11979 17541 21439 23958 35082 42878 64317 128634 192951 235829 385902 471658 707487 1414974 2122461 2594119 4244922 5188238 7782357 15564714 23347071 46694142