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4098045960 = 233451264829
BaseRepresentation
bin1111010001000011…
…0011100000001000
3101120121012022020000
43310100303200020
531343044432320
61514351203000
7203360546601
oct36420634010
911517168200
104098045960
111813270648
12964516460
1350402c988
142ac396da8
1518eb90c90
hexf4433808

4098045960 has 80 divisors (see below), whose sum is σ = 13773998700. Its totient is φ = 1092811392.

The previous prime is 4098045937. The next prime is 4098045967. The reversal of 4098045960 is 695408904.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4076311716 + 21734244 = 63846^2 + 4662^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4098045967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 629175 + ... + 635654.

Almost surely, 24098045960 is an apocalyptic number.

4098045960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4098045960 is an abundant number, since it is smaller than the sum of its proper divisors (9675952740).

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

4098045960 is a wasteful number, since it uses less digits than its factorization.

4098045960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264852 (or 1264839 counting only the distinct ones).

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

The square root of 4098045960 is about 64015.9820669807. The cubic root of 4098045960 is about 1600.2663566980.

The spelling of 4098045960 in words is "four billion, ninety-eight million, forty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 1264829 2529658 3794487 5059316 6324145 7588974 10118632 11383461 12648290 15177948 18972435 22766922 25296580 30355896 34150383 37944870 45533844 50593160 56917305 68300766 75889740 91067688 102451149 113834610 136601532 151779480 170751915 204902298 227669220 273203064 341503830 409804596 455338440 512255745 683007660 819609192 1024511490 1366015320 2049022980 4098045960