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46029942 = 23271013617
BaseRepresentation
bin1010111110010…
…1110001110110
310012121120012200
42233211301312
543240424232
64322325330
71066151040
oct257456166
9105546180
1046029942
1123a89a82
12134b9846
1396c836a
146182a90
15409377c
hex2be5c76

46029942 has 48 divisors (see below), whose sum is σ = 115139232. Its totient is φ = 13017600.

The previous prime is 46029941. The next prime is 46029983. The reversal of 46029942 is 24992064.

46029942 is a `hidden beast` number, since 4 + 602 + 9 + 9 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46029897 and 46029906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46029941) 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, 10918 + ... + 14534.

It is an arithmetic number, because the mean of its divisors is an integer number (2398734).

Almost surely, 246029942 is an apocalyptic number.

46029942 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 46029942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57569616).

46029942 is an abundant number, since it is smaller than the sum of its proper divisors (69109290).

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

46029942 is a wasteful number, since it uses less digits than its factorization.

46029942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 46029942 is about 6784.5369775689. The cubic root of 46029942 is about 358.3825119931.

It can be divided in two parts, 46029 and 942, that added together give a triangular number (46971 = T306).

The spelling of 46029942 in words is "forty-six million, twenty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 3617 4242 6363 7234 10851 12726 21702 25319 32553 50638 65106 75957 151914 227871 365317 455742 730634 1095951 2191902 2557219 3287853 5114438 6575706 7671657 15343314 23014971 46029942