Search a number
-
+
47162052 = 223272379103
BaseRepresentation
bin1011001111101…
…0001011000100
310021202002011200
42303322023010
544033141202
64402502500
71111604460
oct263721304
9107662150
1047162052
1124692603
1213964a30
139a03752
1463994a0
154218e1c
hex2cfa2c4

47162052 has 144 divisors (see below), whose sum is σ = 145367040. Its totient is φ = 12602304.

The previous prime is 47162041. The next prime is 47162053. The reversal of 47162052 is 25026174.

47162052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47162053) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 457833 + ... + 457935.

Almost surely, 247162052 is an apocalyptic number.

47162052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47162052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72683520).

47162052 is an abundant number, since it is smaller than the sum of its proper divisors (98204988).

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

47162052 is a wasteful number, since it uses less digits than its factorization.

47162052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 47162052 is about 6867.4632871243. The cubic root of 47162052 is about 361.2968964074.

The spelling of 47162052 in words is "forty-seven million, one hundred sixty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 79 84 92 103 126 138 158 161 206 207 237 252 276 309 316 322 412 414 474 483 553 618 644 711 721 828 927 948 966 1106 1236 1422 1442 1449 1659 1817 1854 1932 2163 2212 2369 2844 2884 2898 3318 3634 3708 4326 4738 4977 5451 5796 6489 6636 7107 7268 8137 8652 9476 9954 10902 12719 12978 14214 16274 16353 16583 19908 21321 21804 24411 25438 25956 28428 32548 32706 33166 38157 42642 48822 49749 50876 56959 65412 66332 73233 76314 85284 97644 99498 113918 114471 146466 149247 152628 170877 187151 198996 227836 228942 292932 298494 341754 374302 457884 512631 561453 596988 683508 748604 1025262 1122906 1310057 1684359 2050524 2245812 2620114 3368718 3930171 5240228 6737436 7860342 11790513 15720684 23581026 47162052