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45480996 = 223211253197
BaseRepresentation
bin1010110101111…
…1110000100100
310011120200012100
42231133300210
543120342441
64302452100
71061403441
oct255376044
9104520170
1045480996
1123744600
1213294030
139565542
14607c9c8
153ed5cb6
hex2b5fc24

45480996 has 108 divisors (see below), whose sum is σ = 129405276. Its totient is φ = 13453440.

The previous prime is 45480991. The next prime is 45480997. The reversal of 45480996 is 69908454.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 5336100 = 6336^2 + 2310^2 .

It is not an unprimeable number, because it can be changed into a prime (45480991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230770 + ... + 230966.

It is an arithmetic number, because the mean of its divisors is an integer number (1198197).

Almost surely, 245480996 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 45480996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64702638).

45480996 is an abundant number, since it is smaller than the sum of its proper divisors (83924280).

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

45480996 is a wasteful number, since it uses less digits than its factorization.

45480996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 45480996 is about 6743.9599642940. The cubic root of 45480996 is about 356.9521391480.

The spelling of 45480996 in words is "forty-five million, four hundred eighty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 121 132 159 197 198 212 242 318 363 394 396 477 484 583 591 636 726 788 954 1089 1166 1182 1452 1749 1773 1908 2167 2178 2332 2364 3498 3546 4334 4356 5247 6413 6501 6996 7092 8668 10441 10494 12826 13002 19239 19503 20882 20988 23837 25652 26004 31323 38478 39006 41764 47674 57717 62646 71511 76956 78012 93969 95348 114851 115434 125292 143022 187938 214533 229702 230868 286044 344553 375876 429066 459404 689106 858132 1033659 1263361 1378212 2067318 2526722 3790083 4134636 5053444 7580166 11370249 15160332 22740498 45480996