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2542983345 = 325715315273
BaseRepresentation
bin1001011110010010…
…1101100010110001
320120020001221100100
42113210231202301
520202000431340
61100200543013
7120006000420
oct22744554261
96506057310
102542983345
1110954a2031
125ab781a69
13316acbb96
141a1a3d2b7
15ed3bb830
hex9792d8b1

2542983345 has 48 divisors (see below), whose sum is σ = 5041775232. Its totient is φ = 1161527040.

The previous prime is 2542983337. The next prime is 2542983379. The reversal of 2542983345 is 5433892452.

2542983345 is a `hidden beast` number, since 25 + 4 + 298 + 334 + 5 = 666.

2542983345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2542983345 - 23 = 2542983337 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2542983345.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479629 + ... + 484901.

It is an arithmetic number, because the mean of its divisors is an integer number (105036984).

Almost surely, 22542983345 is an apocalyptic number.

It is an amenable number.

2542983345 is a deficient number, since it is larger than the sum of its proper divisors (2498791887).

2542983345 is a wasteful number, since it uses less digits than its factorization.

2542983345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6822 (or 6819 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 2542983345 is about 50428.0015963353. The cubic root of 2542983345 is about 1364.9429674678.

The spelling of 2542983345 in words is "two billion, five hundred forty-two million, nine hundred eighty-three thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1531 4593 5273 7655 10717 13779 15819 22965 26365 32151 36911 47457 53585 68895 79095 96453 110733 160755 184555 237285 332199 482265 553665 1660995 8072963 24218889 40364815 56510741 72656667 121094445 169532223 282553705 363283335 508596669 847661115 2542983345