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900896704 = 26193123899
BaseRepresentation
bin110101101100101…
…001011111000000
32022210012021221121
4311230221133000
53321112143304
6225221202024
731216332001
oct6554513700
92283167847
10900896704
11422595034
12211860314
1311484b896
14879111a8
1554157554
hex35b297c0

900896704 has 56 divisors (see below), whose sum is σ = 1942592000. Its totient is φ = 412957440.

The previous prime is 900896701. The next prime is 900896747. The reversal of 900896704 is 407698009.

900896704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9008967042 = 1623229742556127232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900896701) 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, 25747 + ... + 49645.

Almost surely, 2900896704 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 900896704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971296000).

900896704 is an abundant number, since it is smaller than the sum of its proper divisors (1041695296).

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

900896704 is a wasteful number, since it uses less digits than its factorization.

900896704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23961 (or 23951 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 900896704 is about 30014.9413459364. The cubic root of 900896704 is about 965.8099293549.

The spelling of 900896704 in words is "nine hundred million, eight hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 152 248 304 496 589 608 992 1178 1216 1984 2356 4712 9424 18848 23899 37696 47798 95596 191192 382384 454081 740869 764768 908162 1481738 1529536 1816324 2963476 3632648 5926952 7265296 11853904 14076511 14530592 23707808 28153022 29061184 47415616 56306044 112612088 225224176 450448352 900896704