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2049463440 = 243255035659
BaseRepresentation
bin111101000101000…
…0101010010010000
312021211102112022100
41322022011102100
513144130312230
6535211040400
7101534103033
oct17212052220
95254375270
102049463440
11961961242
12492440100
132687a547b
1415629301a
15bedd3660
hex7a285490

2049463440 has 120 divisors (see below), whose sum is σ = 6897683520. Its totient is φ = 545340672.

The previous prime is 2049463439. The next prime is 2049463447. The reversal of 2049463440 is 443649402.

2049463440 is a `hidden beast` number, since 204 + 9 + 4 + 6 + 3 + 440 = 666.

It is a Cunningham number, because it is equal to 452712-1.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 2049463395 and 2049463404.

It is not an unprimeable number, because it can be changed into a prime (2049463447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359331 + ... + 364989.

It is an arithmetic number, because the mean of its divisors is an integer number (57480696).

Almost surely, 22049463440 is an apocalyptic number.

2049463440 is a gapful number since it is divisible by the number (20) 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 2049463440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448841760).

2049463440 is an abundant number, since it is smaller than the sum of its proper divisors (4848220080).

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

2049463440 is a wasteful number, since it uses less digits than its factorization.

2049463440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6181 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2049463440 is about 45270.9999889554. Note that the first 4 decimals coincide. The cubic root of 2049463440 is about 1270.2232521323.

The spelling of 2049463440 in words is "two billion, forty-nine million, four hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 503 720 1006 1509 2012 2515 3018 4024 4527 5030 5659 6036 7545 8048 9054 10060 11318 12072 15090 16977 18108 20120 22635 22636 24144 28295 30180 33954 36216 40240 45270 45272 50931 56590 60360 67908 72432 84885 90540 90544 101862 113180 120720 135816 169770 181080 203724 226360 254655 271632 339540 362160 407448 452720 509310 679080 814896 1018620 1358160 2037240 2846477 4074480 5692954 8539431 11385908 14232385 17078862 22771816 25618293 28464770 34157724 42697155 45543632 51236586 56929540 68315448 85394310 102473172 113859080 128091465 136630896 170788620 204946344 227718160 256182930 341577240 409892688 512365860 683154480 1024731720 2049463440