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46241272 = 23711271277
BaseRepresentation
bin1011000001100…
…1010111111000
310020000022002201
42300121113320
543314210042
64331035544
71101021130
oct260312770
9106008081
1046241272
1124113830
121359bbb4
1397705cc
1461d9ac0
1540d61b7
hex2c195f8

46241272 has 64 divisors (see below), whose sum is σ = 108887040. Its totient is φ = 17884800.

The previous prime is 46241257. The next prime is 46241287. The reversal of 46241272 is 27214264.

It is a happy number.

46241272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46241257) and next prime (46241287).

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

It is a self number, because there is not a number n which added to its sum of digits gives 46241272.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 166798 + ... + 167074.

It is an arithmetic number, because the mean of its divisors is an integer number (1701360).

Almost surely, 246241272 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 46241272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54443520).

46241272 is an abundant number, since it is smaller than the sum of its proper divisors (62645768).

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

46241272 is a wasteful number, since it uses less digits than its factorization.

46241272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 46241272 is about 6800.0935287686. The cubic root of 46241272 is about 358.9301364401.

The spelling of 46241272 in words is "forty-six million, two hundred forty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 271 277 308 542 554 616 1084 1108 1897 1939 2168 2216 2981 3047 3794 3878 5962 6094 7588 7756 11924 12188 15176 15512 20867 21329 23848 24376 41734 42658 75067 83468 85316 150134 166936 170632 300268 525469 600536 825737 1050938 1651474 2101876 3302948 4203752 5780159 6605896 11560318 23120636 46241272