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469304640 = 26325723279
BaseRepresentation
bin11011111110010…
…000010101000000
31012201002010221100
4123332100111000
51430120222030
6114322454400
714426011050
oct3376202500
91181063840
10469304640
11220a01582
12111204400
13762c876c
1446485560
152b303360
hex1bf90540

469304640 has 168 divisors, whose sum is σ = 1844893440. Its totient is φ = 107265024.

The previous prime is 469304603. The next prime is 469304657. The reversal of 469304640 is 46403964.

469304640 is a `hidden beast` number, since 4 + 6 + 9 + 3 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 469304595 and 469304604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8521 + ... + 31799.

Almost surely, 2469304640 is an apocalyptic number.

469304640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922446720).

469304640 is an abundant number, since it is smaller than the sum of its proper divisors (1375588800).

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

469304640 is a wasteful number, since it uses less digits than its factorization.

469304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23309 (or 23296 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 469304640 is about 21663.4401700192. The cubic root of 469304640 is about 777.1143871388.

The spelling of 469304640 in words is "four hundred sixty-nine million, three hundred four thousand, six hundred forty".