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4290225390 = 23251127115991
BaseRepresentation
bin1111111110110111…
…1010010011101110
3102001222211000211200
43333231322103232
532241244203030
61545414230330
7211213212513
oct37755722356
912058730750
104290225390
1119017a1920
129b89553a6
13534aa9409
142c9b0130a
151a19a2d60
hexffb7a4ee

4290225390 has 96 divisors (see below), whose sum is σ = 12214305792. Its totient is φ = 1036152000.

The previous prime is 4290225367. The next prime is 4290225427. The reversal of 4290225390 is 935220924.

4290225390 is a `hidden beast` number, since 42 + 9 + 0 + 225 + 390 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260295 + ... + 276285.

It is an arithmetic number, because the mean of its divisors is an integer number (127232352).

Almost surely, 24290225390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4290225390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107152896).

4290225390 is an abundant number, since it is smaller than the sum of its proper divisors (7924080402).

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

4290225390 is a wasteful number, since it uses less digits than its factorization.

4290225390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16286 (or 16283 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4290225390 is about 65499.8121371352. The cubic root of 4290225390 is about 1624.9002403453.

The spelling of 4290225390 in words is "four billion, two hundred ninety million, two hundred twenty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 271 330 495 542 813 990 1355 1626 2439 2710 2981 4065 4878 5962 8130 8943 12195 14905 15991 17886 24390 26829 29810 31982 44715 47973 53658 79955 89430 95946 134145 143919 159910 175901 239865 268290 287838 351802 479730 527703 719595 879505 1055406 1439190 1583109 1759010 2638515 3166218 4333561 5277030 7915545 8667122 13000683 15831090 21667805 26001366 39002049 43335610 47669171 65003415 78004098 95338342 130006830 143007513 195010245 238345855 286015026 390020490 429022539 476691710 715037565 858045078 1430075130 2145112695 4290225390