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46055142 = 2347172389
BaseRepresentation
bin1010111110101…
…1111011100110
310012122211210000
42233223323212
543242231032
64323042130
71066314360
oct257537346
9105584700
1046055142
1123aa6a01
1213510346
139706983
14618bd30
15409ae7c
hex2bebee6

46055142 has 80 divisors (see below), whose sum is σ = 124930080. Its totient is φ = 12379392.

The previous prime is 46055129. The next prime is 46055201. The reversal of 46055142 is 24155064.

46055142 is a `hidden beast` number, since 4 + 605 + 51 + 4 + 2 = 666.

It is a super-2 number, since 2×460551422 = 4242152209280328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18084 + ... + 20472.

It is an arithmetic number, because the mean of its divisors is an integer number (1561626).

Almost surely, 246055142 is an apocalyptic number.

46055142 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 46055142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62465040).

46055142 is an abundant number, since it is smaller than the sum of its proper divisors (78874938).

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

46055142 is a wasteful number, since it uses less digits than its factorization.

46055142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 46055142 is about 6786.3938877728. The cubic root of 46055142 is about 358.4479012543.

The spelling of 46055142 in words is "forty-six million, fifty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 714 918 1071 1134 1377 2142 2389 2754 3213 4778 6426 7167 9639 14334 16723 19278 21501 33446 40613 43002 50169 64503 81226 100338 121839 129006 150507 193509 243678 284291 301014 365517 387018 451521 568582 731034 852873 903042 1096551 1354563 1705746 2193102 2558619 2709126 3289653 5117238 6579306 7675857 15351714 23027571 46055142