Search a number
-
+
46095672 = 23372192063
BaseRepresentation
bin1010111111010…
…1110100111000
310012201220101010
42233311310320
543300030142
64323553520
71066543500
oct257656470
9105656333
1046095672
11240243a7
121352b8a0
13971c25c
14619ca00
1540a7e9c
hex2bf5d38

46095672 has 96 divisors (see below), whose sum is σ = 141177600. Its totient is φ = 12470976.

The previous prime is 46095659. The next prime is 46095719. The reversal of 46095672 is 27659064.

It is a self number, because there is not a number n which added to its sum of digits gives 46095672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21313 + ... + 23375.

It is an arithmetic number, because the mean of its divisors is an integer number (1470600).

Almost surely, 246095672 is an apocalyptic number.

46095672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46095672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70588800).

46095672 is an abundant number, since it is smaller than the sum of its proper divisors (95081928).

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

46095672 is a wasteful number, since it uses less digits than its factorization.

46095672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 46095672 is about 6789.3793530779. The cubic root of 46095672 is about 358.5530189691.

The spelling of 46095672 in words is "forty-six million, ninety-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2063 2793 3192 3724 4126 5586 6189 7448 8252 11172 12378 14441 16504 22344 24756 28882 39197 43323 49512 57764 78394 86646 101087 115528 117591 156788 173292 202174 235182 274379 303261 313576 346584 404348 470364 548758 606522 808696 823137 940728 1097516 1213044 1646274 1920653 2195032 2426088 3292548 3841306 5761959 6585096 7682612 11523918 15365224 23047836 46095672