Search a number
-
+
755907072 = 2931992473
BaseRepresentation
bin101101000011100…
…011101000000000
31221200101001120020
4231003203220000
53022003011242
6203001413440
724506050464
oct5503435000
91850331506
10755907072
11358765198
1219119a280
13c07b53bb
147256c4a4
15465676ec
hex2d0e3a00

755907072 has 80 divisors (see below), whose sum is σ = 2024721600. Its totient is φ = 250601472.

The previous prime is 755907013. The next prime is 755907083. The reversal of 755907072 is 270709557.

It is a super-2 number, since 2×7559070722 = 1142791002999226368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304428 + ... + 306900.

It is an arithmetic number, because the mean of its divisors is an integer number (25309020).

Almost surely, 2755907072 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 755907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012360800).

755907072 is an abundant number, since it is smaller than the sum of its proper divisors (1268814528).

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

755907072 is a wasteful number, since it uses less digits than its factorization.

755907072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 42.

The square root of 755907072 is about 27493.7642384596. The cubic root of 755907072 is about 910.9393640888.

The spelling of 755907072 in words is "seven hundred fifty-five million, nine hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 384 398 512 597 768 796 1194 1536 1592 2388 2473 3184 4776 4946 6368 7419 9552 9892 12736 14838 19104 19784 25472 29676 38208 39568 50944 59352 76416 79136 101888 118704 152832 158272 237408 305664 316544 474816 492127 633088 949632 984254 1266176 1476381 1899264 1968508 2952762 3798528 3937016 5905524 7874032 11811048 15748064 23622096 31496128 47244192 62992256 94488384 125984512 188976768 251969024 377953536 755907072