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1048284440 = 23572534839
BaseRepresentation
bin111110011110111…
…000110100011000
32201001112100220122
4332132320310120
54121330100230
6252004212412
734656161600
oct7636706430
92631470818
101048284440
11498802685
1225309a108
13139244768
149d319c00
156206cbe5
hex3e7b8d18

1048284440 has 48 divisors (see below), whose sum is σ = 2743729200. Its totient is φ = 359411136.

The previous prime is 1048284427. The next prime is 1048284449. The reversal of 1048284440 is 444828401.

It is a super-2 number, since 2×10482844402 = 2197800534292227200, which contains 22 as substring.

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 1048284440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048284449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265460 + ... + 269379.

It is an arithmetic number, because the mean of its divisors is an integer number (57161025).

Almost surely, 21048284440 is an apocalyptic number.

1048284440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1048284440 is an abundant number, since it is smaller than the sum of its proper divisors (1695444760).

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

1048284440 is a wasteful number, since it uses less digits than its factorization.

1048284440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534864 (or 534853 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 35.

The square root of 1048284440 is about 32377.2210048979. The cubic root of 1048284440 is about 1015.8425030217.

The spelling of 1048284440 in words is "one billion, forty-eight million, two hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 534839 1069678 2139356 2674195 3743873 4278712 5348390 7487746 10696780 14975492 18719365 21393560 26207111 29950984 37438730 52414222 74877460 104828444 131035555 149754920 209656888 262071110 524142220 1048284440