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46681420 = 22537199317
BaseRepresentation
bin1011001000010…
…0110101001100
310020211122212111
42302010311030
543422301140
64344313404
71104533302
oct262046514
9106748774
1046681420
1124394495
1213772864
139895a56
1462b2272
1541717ea
hex2c84d4c

46681420 has 48 divisors (see below), whose sum is σ = 101505600. Its totient is φ = 18019584.

The previous prime is 46681417. The next prime is 46681447. The reversal of 46681420 is 2418664.

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 15 ways as a sum of consecutive naturals, for example, 147102 + ... + 147418.

It is an arithmetic number, because the mean of its divisors is an integer number (2114700).

Almost surely, 246681420 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 46681420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50752800).

46681420 is an abundant number, since it is smaller than the sum of its proper divisors (54824180).

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

46681420 is a wasteful number, since it uses less digits than its factorization.

46681420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 46681420 is about 6832.3802587385. The cubic root of 46681420 is about 360.0653687881.

The spelling of 46681420 in words is "forty-six million, six hundred eighty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 199 317 370 398 634 740 796 995 1268 1585 1990 3170 3980 6340 7363 11729 14726 23458 29452 36815 46916 58645 63083 73630 117290 126166 147260 234580 252332 315415 630830 1261660 2334071 4668142 9336284 11670355 23340710 46681420