Search a number
-
+
903096864 = 253638713
BaseRepresentation
bin110101110101000…
…010101000100000
32022221100002000000
4311311002220200
53322143044424
6225340300000
731244124315
oct6565025040
92287302000
10903096864
1142385804a
12212541600
1311513c157
1487d24d0c
155443e3c9
hex35d42a20

903096864 has 84 divisors (see below), whose sum is σ = 2665807326. Its totient is φ = 301024512.

The previous prime is 903096841. The next prime is 903096871. The reversal of 903096864 is 468690309.

It can be written as a sum of positive squares in only one way, i.e., 644144400 + 258952464 = 25380^2 + 16092^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3972 + ... + 42684.

Almost surely, 2903096864 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 903096864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332903663).

903096864 is an abundant number, since it is smaller than the sum of its proper divisors (1762710462).

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

903096864 is an equidigital number, since it uses as much as digits as its factorization.

903096864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38741 (or 38718 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 903096864 is about 30051.5700754553. The cubic root of 903096864 is about 966.5955203022.

The spelling of 903096864 in words is "nine hundred three million, ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 38713 77426 116139 154852 232278 309704 348417 464556 619408 696834 929112 1045251 1238816 1393668 1858224 2090502 2787336 3135753 3716448 4181004 5574672 6271506 8362008 9407259 11149344 12543012 16724016 18814518 25086024 28221777 33448032 37629036 50172048 56443554 75258072 100344096 112887108 150516144 225774216 301032288 451548432 903096864