Search a number
-
+
46416090 = 2357832663
BaseRepresentation
bin1011000100010…
…0000011011010
310020100011220110
42301010003122
543340303330
64334505150
71102346610
oct261040332
9106304813
1046416090
1124223106
12136651b6
139802056
1462436b0
15411cdb0
hex2c440da

46416090 has 64 divisors (see below), whose sum is σ = 128894976. Its totient is φ = 10477632.

The previous prime is 46416077. The next prime is 46416109. The reversal of 46416090 is 9061464.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16099 + ... + 18761.

It is an arithmetic number, because the mean of its divisors is an integer number (2013984).

Almost surely, 246416090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46416090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64447488).

46416090 is an abundant number, since it is smaller than the sum of its proper divisors (82478886).

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

46416090 is a wasteful number, since it uses less digits than its factorization.

46416090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 46416090 is about 6812.9354906677. The cubic root of 46416090 is about 359.3818868498.

It can be divided in two parts, 4641 and 6090, that added together give a triangular number (10731 = T146).

The spelling of 46416090 in words is "forty-six million, four hundred sixteen thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 1162 1245 1743 2490 2663 2905 3486 5326 5810 7989 8715 13315 15978 17430 18641 26630 37282 39945 55923 79890 93205 111846 186410 221029 279615 442058 559230 663087 1105145 1326174 1547203 2210290 3094406 3315435 4641609 6630870 7736015 9283218 15472030 23208045 46416090