Search a number
-
+
46700460 = 22325401647
BaseRepresentation
bin1011001000100…
…1011110101100
310020212121222200
42302021132230
543423403320
64344541500
71104642642
oct262113654
9106777880
1046700460
11243a7824
1213781890
1398a1611
1462b9192
154177290
hex2c897ac

46700460 has 72 divisors (see below), whose sum is σ = 142230816. Its totient is φ = 12403200.

The previous prime is 46700453. The next prime is 46700491. The reversal of 46700460 is 6400764.

46700460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 71857 + ... + 72503.

It is an arithmetic number, because the mean of its divisors is an integer number (1975428).

Almost surely, 246700460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46700460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71115408).

46700460 is an abundant number, since it is smaller than the sum of its proper divisors (95530356).

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

46700460 is a wasteful number, since it uses less digits than its factorization.

46700460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 46700460 is about 6833.7734817595. The cubic root of 46700460 is about 360.1143155479.

The spelling of 46700460 in words is "forty-six million, seven hundred thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 401 647 802 1203 1294 1604 1941 2005 2406 2588 3235 3609 3882 4010 4812 5823 6015 6470 7218 7764 8020 9705 11646 12030 12940 14436 18045 19410 23292 24060 29115 36090 38820 58230 72180 116460 259447 518894 778341 1037788 1297235 1556682 2335023 2594470 3113364 3891705 4670046 5188940 7783410 9340092 11675115 15566820 23350230 46700460