Search a number
-
+
1055245576 = 2372111012423
BaseRepresentation
bin111110111001011…
…100010100001000
32201112122000210111
4332321130110020
54130120324301
6252413324104
735102303500
oct7671342410
92645560714
101055245576
114a1727690
12255496634
1313a811088
14a020ca00
1562995551
hex3ee5c508

1055245576 has 96 divisors (see below), whose sum is σ = 2536764480. Its totient is φ = 406896000.

The previous prime is 1055245571. The next prime is 1055245601. The reversal of 1055245576 is 6755425501.

1055245576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10552455762 = 2227086451335143552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055245571) 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, 434301 + ... + 436723.

It is an arithmetic number, because the mean of its divisors is an integer number (26424630).

Almost surely, 21055245576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055245576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268382240).

1055245576 is an abundant number, since it is smaller than the sum of its proper divisors (1481518904).

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

1055245576 is a wasteful number, since it uses less digits than its factorization.

1055245576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 40.

The square root of 1055245576 is about 32484.5436477104. The cubic root of 1055245576 is about 1018.0861125005.

The spelling of 1055245576 in words is "one billion, fifty-five million, two hundred forty-five thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 101 154 196 202 308 392 404 539 616 707 808 1078 1111 1414 2156 2222 2423 2828 4312 4444 4846 4949 5656 7777 8888 9692 9898 15554 16961 19384 19796 26653 31108 33922 39592 53306 54439 62216 67844 106612 108878 118727 135688 186571 213224 217756 237454 244723 373142 435512 474908 489446 746284 949816 978892 1305997 1492568 1713061 1957784 2611994 2691953 3426122 5223988 5383906 6852244 10447976 10767812 11991427 13704488 18843671 21535624 23982854 37687342 47965708 75374684 95931416 131905697 150749368 263811394 527622788 1055245576