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290078272 = 2611631653
BaseRepresentation
bin10001010010100…
…011111001000000
3202012211111120201
4101102203321000
51043230001042
644441214544
710121424151
oct2122437100
9665744521
10290078272
11139818110
1281191454
1348135a63
142a74d928
151a6ee1b7
hex114a3e40

290078272 has 56 divisors (see below), whose sum is σ = 629911872. Its totient is φ = 131443200.

The previous prime is 290078251. The next prime is 290078273. The reversal of 290078272 is 272870092.

It is not an unprimeable number, because it can be changed into a prime (290078273) by changing a digit.

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, 443898 + ... + 444550.

Almost surely, 2290078272 is an apocalyptic number.

290078272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314955936).

290078272 is an abundant number, since it is smaller than the sum of its proper divisors (339833600).

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

290078272 is a wasteful number, since it uses less digits than its factorization.

290078272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 290078272 is about 17031.6843559291. The cubic root of 290078272 is about 661.9701400964.

The spelling of 290078272 in words is "two hundred ninety million, seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 631 653 704 1262 1306 2524 2612 5048 5224 6941 7183 10096 10448 13882 14366 20192 20896 27764 28732 40384 41792 55528 57464 111056 114928 222112 229856 412043 444224 459712 824086 1648172 3296344 4532473 6592688 9064946 13185376 18129892 26370752 36259784 72519568 145039136 290078272