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45330948 = 22331383389
BaseRepresentation
bin1010110011101…
…1001000000100
310011022001101000
42230323020010
543101042243
64255333300
71060210125
oct254731004
9104261330
1045330948
11236518a3
1213221230
139512160
14604004c
153ea65d3
hex2b3b204

45330948 has 96 divisors (see below), whose sum is σ = 128419200. Its totient is φ = 13744512.

The previous prime is 45330899. The next prime is 45330949. The reversal of 45330948 is 84903354.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45330949) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 116338 + ... + 116726.

It is an arithmetic number, because the mean of its divisors is an integer number (1337700).

Almost surely, 245330948 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 45330948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64209600).

45330948 is an abundant number, since it is smaller than the sum of its proper divisors (83088252).

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

45330948 is a wasteful number, since it uses less digits than its factorization.

45330948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 45330948 is about 6732.8261525157. The cubic root of 45330948 is about 356.5591620952.

The spelling of 45330948 in words is "forty-five million, three hundred thirty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 83 108 117 156 166 234 249 332 351 389 468 498 702 747 778 996 1079 1167 1404 1494 1556 2158 2241 2334 2988 3237 3501 4316 4482 4668 5057 6474 7002 8964 9711 10114 10503 12948 14004 15171 19422 20228 21006 29133 30342 32287 38844 42012 45513 58266 60684 64574 91026 96861 116532 129148 136539 182052 193722 273078 290583 387444 419731 546156 581166 839462 871749 1162332 1259193 1678924 1743498 2518386 3486996 3777579 5036772 7555158 11332737 15110316 22665474 45330948