Search a number
-
+
46721892 = 22372181439
BaseRepresentation
bin1011001000111…
…0101101100100
310020220201101110
42302032231210
543430100032
64345225020
71105062300
oct262165544
9106821343
1046721892
1124411938
1213792170
1398ab2b9
1462c2d00
15417d7cc
hex2c8eb64

46721892 has 72 divisors (see below), whose sum is σ = 127807680. Its totient is φ = 13245120.

The previous prime is 46721891. The next prime is 46721897. The reversal of 46721892 is 29812764.

46721892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46721892.

It is not an unprimeable number, because it can be changed into a prime (46721891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106209 + ... + 106647.

Almost surely, 246721892 is an apocalyptic number.

46721892 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 46721892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63903840).

46721892 is an abundant number, since it is smaller than the sum of its proper divisors (81085788).

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

46721892 is a wasteful number, since it uses less digits than its factorization.

46721892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 632 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 46721892 is about 6835.3413960094. The cubic root of 46721892 is about 360.1693955882.

The spelling of 46721892 in words is "forty-six million, seven hundred twenty-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 181 196 294 362 439 543 588 724 878 1086 1267 1317 1756 2172 2534 2634 3073 3801 5068 5268 6146 7602 8869 9219 12292 15204 17738 18438 21511 26607 35476 36876 43022 53214 64533 79459 86044 106428 129066 158918 238377 258132 317836 476754 556213 953508 1112426 1668639 2224852 3337278 3893491 6674556 7786982 11680473 15573964 23360946 46721892