Search a number
-
+
1055275656 = 233197613041
BaseRepresentation
bin111110111001100…
…011101010001000
32201112200120001120
4332321203222020
54130122310111
6252414115240
735102460261
oct7671435210
92645616046
101055275656
114a1748246
122554abb20
1313a821986
14a0219968
156299e406
hex3ee63a88

1055275656 has 64 divisors (see below), whose sum is σ = 2781604800. Its totient is φ = 332697600.

The previous prime is 1055275651. The next prime is 1055275679. The reversal of 1055275656 is 6565725501.

It is a happy number.

It is a super-2 number, since 2×10552756562 = 2227213420292460672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055275651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345496 + ... + 348536.

It is an arithmetic number, because the mean of its divisors is an integer number (43462575).

Almost surely, 21055275656 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 1055275656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390802400).

1055275656 is an abundant number, since it is smaller than the sum of its proper divisors (1726329144).

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

1055275656 is a wasteful number, since it uses less digits than its factorization.

1055275656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 42.

The square root of 1055275656 is about 32485.0066338303. The cubic root of 1055275656 is about 1018.0957859958.

The spelling of 1055275656 in words is "one billion, fifty-five million, two hundred seventy-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 761 1522 2283 3041 3044 4566 6082 6088 9123 9132 12164 14459 18246 18264 24328 28918 36492 43377 57779 57836 72984 86754 115558 115672 173337 173508 231116 346674 347016 462232 693348 1386696 2314201 4628402 6942603 9256804 13885206 18513608 27770412 43969819 55540824 87939638 131909457 175879276 263818914 351758552 527637828 1055275656