Search a number
-
+
1048858240 = 2753744293
BaseRepresentation
bin111110100001000…
…100111010000000
32201002121112000111
4332201010322000
54122001430430
6252024401104
734664101513
oct7641047200
92632545014
101048858240
114990647a1
12253316194
131393b59a1
149d428d7a
1562132c2a
hex3e844e80

1048858240 has 64 divisors (see below), whose sum is σ = 2575253160. Its totient is φ = 408195072.

The previous prime is 1048858229. The next prime is 1048858249. The reversal of 1048858240 is 428588401.

It can be written as a sum of positive squares in 4 ways, for example, as 1048205376 + 652864 = 32376^2 + 808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10488582402 = 2200207215231795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1048858193 and 1048858202.

It is not an unprimeable number, because it can be changed into a prime (1048858249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1534 + ... + 45826.

Almost surely, 21048858240 is an apocalyptic number.

1048858240 is a gapful number since it is divisible by the number (10) 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 1048858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287626580).

1048858240 is an abundant number, since it is smaller than the sum of its proper divisors (1526394920).

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

1048858240 is an equidigital number, since it uses as much as digits as its factorization.

1048858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44349 (or 44337 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 1048858240 is about 32386.0809608078. The cubic root of 1048858240 is about 1016.0278166274.

The spelling of 1048858240 in words is "one billion, forty-eight million, eight hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 1184 1480 2368 2960 4736 5920 11840 23680 44293 88586 177172 221465 354344 442930 708688 885860 1417376 1638841 1771720 2834752 3277682 3543440 5669504 6555364 7086880 8194205 13110728 14173760 16388410 26221456 28347520 32776820 52442912 65553640 104885824 131107280 209771648 262214560 524429120 1048858240