Search a number
-
+
1102926048 = 25377322483
BaseRepresentation
bin100000110111101…
…0101000011100000
32211212100110002220
41001233111003200
54224322113143
6301235311040
736221500560
oct10157250340
92755313086
101102926048
11516633734
1226944b480
13147666783
14a66a0da0
1566c62d83
hex41bd50e0

1102926048 has 96 divisors (see below), whose sum is σ = 3354253056. Its totient is φ = 310791168.

The previous prime is 1102926047. The next prime is 1102926067. The reversal of 1102926048 is 8406292011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102926047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37815 + ... + 60297.

It is an arithmetic number, because the mean of its divisors is an integer number (34940136).

Almost surely, 21102926048 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 1102926048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677126528).

1102926048 is an abundant number, since it is smaller than the sum of its proper divisors (2251327008).

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

1102926048 is a wasteful number, since it uses less digits than its factorization.

1102926048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22576 (or 22568 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1102926048 is about 33210.3304409938. The cubic root of 1102926048 is about 1033.1946084553.

The spelling of 1102926048 in words is "one billion, one hundred two million, nine hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1533 1752 2044 2336 3066 3504 4088 6132 7008 8176 12264 16352 22483 24528 44966 49056 67449 89932 134898 157381 179864 269796 314762 359728 472143 539592 629524 719456 944286 1079184 1259048 1641259 1888572 2158368 2518096 3282518 3777144 4923777 5036192 6565036 7554288 9847554 11488813 13130072 15108576 19695108 22977626 26260144 34466439 39390216 45955252 52520288 68932878 78780432 91910504 137865756 157560864 183821008 275731512 367642016 551463024 1102926048