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46704420 = 223257101367
BaseRepresentation
bin1011001000101…
…0011100100100
310020212211102100
42302022130210
543424020140
64345012100
71104660330
oct262123444
9106784370
1046704420
11243aa7a4
1213784030
1398a3369
1462ba7c0
154178530
hex2c8a724

46704420 has 144 divisors (see below), whose sum is σ = 163957248. Its totient is φ = 10540800.

The previous prime is 46704419. The next prime is 46704461. The reversal of 46704420 is 2440764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127077 + ... + 127443.

It is an arithmetic number, because the mean of its divisors is an integer number (1138592).

Almost surely, 246704420 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 46704420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81978624).

46704420 is an abundant number, since it is smaller than the sum of its proper divisors (117252828).

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

46704420 is a wasteful number, since it uses less digits than its factorization.

46704420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 46704420 is about 6834.0632130527. The cubic root of 46704420 is about 360.1244939800.

The spelling of 46704420 in words is "forty-six million, seven hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 367 404 420 505 606 630 707 734 909 1010 1101 1212 1260 1414 1468 1515 1818 1835 2020 2121 2202 2569 2828 3030 3303 3535 3636 3670 4242 4404 4545 5138 5505 6060 6363 6606 7070 7340 7707 8484 9090 10276 10605 11010 12726 12845 13212 14140 15414 16515 18180 21210 22020 23121 25452 25690 30828 31815 33030 37067 38535 42420 46242 51380 63630 66060 74134 77070 92484 111201 115605 127260 148268 154140 185335 222402 231210 259469 333603 370670 444804 462420 518938 556005 667206 741340 778407 1037876 1112010 1297345 1334412 1556814 1668015 2224020 2335221 2594690 3113628 3336030 3892035 4670442 5189380 6672060 7784070 9340884 11676105 15568140 23352210 46704420