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905484640 = 2555659279
BaseRepresentation
bin110101111110001…
…001100101100000
32100002211101102011
4311332021211200
53323301002030
6225503402304
731303330624
oct6576114540
92302741364
10905484640
11425139015
122132b3394
13115796c38
1488387184
1554761b2a
hex35f89960

905484640 has 24 divisors (see below), whose sum is σ = 2139207840. Its totient is φ = 362193792.

The previous prime is 905484607. The next prime is 905484641. The reversal of 905484640 is 46484509.

905484640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 905484593 and 905484602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905484641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2829480 + ... + 2829799.

It is an arithmetic number, because the mean of its divisors is an integer number (89133660).

Almost surely, 2905484640 is an apocalyptic number.

It is an amenable number.

905484640 is an abundant number, since it is smaller than the sum of its proper divisors (1233723200).

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

905484640 is a wasteful number, since it uses less digits than its factorization.

905484640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5659294 (or 5659286 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 905484640 is about 30091.2718242350. The cubic root of 905484640 is about 967.4466591411.

The spelling of 905484640 in words is "nine hundred five million, four hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 5659279 11318558 22637116 28296395 45274232 56592790 90548464 113185580 181096928 226371160 452742320 905484640