Search a number
-
+
46014969 = 37211213199
BaseRepresentation
bin1010111110001…
…0000111111001
310012120210200010
42233202013321
543234434334
64322132133
71066056300
oct257420771
9105523603
1046014969
1123a79800
12134b1049
1396c15c0
14617b437
15408e0e9
hex2be21f9

46014969 has 72 divisors (see below), whose sum is σ = 84907200. Its totient is φ = 21954240.

The previous prime is 46014961. The next prime is 46015001. The reversal of 46014969 is 96941064.

It is not a de Polignac number, because 46014969 - 23 = 46014961 is a prime.

It is a super-2 number, since 2×460149692 = 4234754744141922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (46014961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231132 + ... + 231330.

Almost surely, 246014969 is an apocalyptic number.

46014969 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

46014969 is a deficient number, since it is larger than the sum of its proper divisors (38892231).

46014969 is a wasteful number, since it uses less digits than its factorization.

46014969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 46014969 is about 6783.4334226850. The cubic root of 46014969 is about 358.3436485703.

The spelling of 46014969 in words is "forty-six million, fourteen thousand, nine hundred sixty-nine".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 121 143 147 199 231 273 363 429 539 597 637 847 1001 1393 1573 1617 1911 2189 2541 2587 3003 4179 4719 5929 6567 7007 7761 9751 11011 15323 17787 18109 21021 24079 28457 29253 33033 45969 54327 72237 77077 85371 107261 126763 168553 199199 231231 313027 321783 380289 505659 597597 939081 1179871 1394393 2191189 3539613 4183179 6573567 15338323 46014969