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264649740 = 22354410829
BaseRepresentation
bin11111100011000…
…11110000001100
3200102222121012020
433301203300030
51020222242430
642132210140
76362325405
oct1761436014
9612877166
10264649740
1112642a2a3
1274769950
1342aa17a4
14272109ac
1518379b10
hexfc63c0c

264649740 has 24 divisors (see below), whose sum is σ = 741019440. Its totient is φ = 70573248.

The previous prime is 264649739. The next prime is 264649769. The reversal of 264649740 is 47946462.

264649740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 264649692 and 264649701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2205355 + ... + 2205474.

It is an arithmetic number, because the mean of its divisors is an integer number (30875810).

Almost surely, 2264649740 is an apocalyptic number.

264649740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264649740 is an abundant number, since it is smaller than the sum of its proper divisors (476369700).

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

264649740 is a wasteful number, since it uses less digits than its factorization.

264649740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410841 (or 4410839 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 264649740 is about 16268.0588885091. The cubic root of 264649740 is about 642.0327134659.

The spelling of 264649740 in words is "two hundred sixty-four million, six hundred forty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4410829 8821658 13232487 17643316 22054145 26464974 44108290 52929948 66162435 88216580 132324870 264649740