Search a number
-
+
1008924896 = 257391921
BaseRepresentation
bin111100001000101…
…111100011100000
32121022110200202202
4330020233203200
54031241044041
6244040432332
734000502000
oct7410574340
92538420682
101008924896
1147856a231
12241a786a8
131310435a5
1497dd2000
155d895a9b
hex3c22f8e0

1008924896 has 48 divisors (see below), whose sum is σ = 2316434400. Its totient is φ = 432391680.

The previous prime is 1008924893. The next prime is 1008924913. The reversal of 1008924896 is 6984298001.

It is a super-2 number, since 2×10089248962 = 2035858891537221632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1008924896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008924893) 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, 34985 + ... + 56936.

It is an arithmetic number, because the mean of its divisors is an integer number (48259050).

Almost surely, 21008924896 is an apocalyptic number.

1008924896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1008924896 is an abundant number, since it is smaller than the sum of its proper divisors (1307509504).

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

1008924896 is an frugal number, since it uses more digits than its factorization.

1008924896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91952 (or 91930 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The square root of 1008924896 is about 31763.5781359720. The cubic root of 1008924896 is about 1002.9661585380.

The spelling of 1008924896 in words is "one billion, eight million, nine hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5488 10976 91921 183842 367684 643447 735368 1286894 1470736 2573788 2941472 4504129 5147576 9008258 10295152 18016516 20590304 31528903 36033032 63057806 72066064 126115612 144132128 252231224 504462448 1008924896