Search a number
-
+
45624312440 = 23571487109579
BaseRepresentation
bin101010011111011010…
…111100001001111000
311100202122012012201122
4222133122330021320
51221414310444230
632543131204412
73203420154110
oct523732741170
9140678165648
1045624312440
111839280a243
128a135a6708
1343c136cca5
1422cb544040
1512c065ebe5
hexa9f6bc278

45624312440 has 64 divisors (see below), whose sum is σ = 117399628800. Its totient is φ = 15631959168.

The previous prime is 45624312439. The next prime is 45624312443. The reversal of 45624312440 is 4421342654.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 45624312440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45624312443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361571 + ... + 471149.

It is an arithmetic number, because the mean of its divisors is an integer number (1834369200).

Almost surely, 245624312440 is an apocalyptic number.

45624312440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45624312440 is an abundant number, since it is smaller than the sum of its proper divisors (71775316360).

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

45624312440 is a wasteful number, since it uses less digits than its factorization.

45624312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111084 (or 111080 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 45624312440 in words is "forty-five billion, six hundred twenty-four million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1487 2974 5948 7435 10409 11896 14870 20818 29740 41636 52045 59480 83272 104090 109579 208180 219158 416360 438316 547895 767053 876632 1095790 1534106 2191580 3068212 3835265 4383160 6136424 7670530 15341060 30682120 162943973 325887946 651775892 814719865 1140607811 1303551784 1629439730 2281215622 3258879460 4562431244 5703039055 6517758920 9124862488 11406078110 22812156220 45624312440