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46480420 = 22572431103
BaseRepresentation
bin1011000101001…
…1110000100100
310020110110011001
42301103300210
543344333140
64340123044
71103035300
oct261236044
9106413131
1046480420
1124267478
1213696484
13982540c
14625cd00
154131e9a
hex2c53c24

46480420 has 72 divisors (see below), whose sum is σ = 116290944. Its totient is φ = 15551424.

The previous prime is 46480411. The next prime is 46480433. The reversal of 46480420 is 2408464.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 41589 + ... + 42691.

It is an arithmetic number, because the mean of its divisors is an integer number (1615152).

Almost surely, 246480420 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 46480420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58145472).

46480420 is an abundant number, since it is smaller than the sum of its proper divisors (69810524).

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

46480420 is a wasteful number, since it uses less digits than its factorization.

46480420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 46480420 is about 6817.6550220732. The cubic root of 46480420 is about 359.5478376687.

Adding to 46480420 its reverse (2408464), we get a palindrome (48888884).

The spelling of 46480420 in words is "forty-six million, four hundred eighty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 172 196 215 245 301 430 490 602 860 980 1103 1204 1505 2107 2206 3010 4214 4412 5515 6020 7721 8428 10535 11030 15442 21070 22060 30884 38605 42140 47429 54047 77210 94858 108094 154420 189716 216188 237145 270235 332003 474290 540470 664006 948580 1080940 1328012 1660015 2324021 3320030 4648042 6640060 9296084 11620105 23240210 46480420