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469139040 = 2534553683
BaseRepresentation
bin11011111101100…
…111111001100000
31012200202201210000
4123331213321200
51430044422130
6114315140000
714424421206
oct3375477140
91180681700
10469139040
112208a9117
12111144600
137626b286
1446441076
152b2be260
hex1bf67e60

469139040 has 240 divisors, whose sum is σ = 1689378768. Its totient is φ = 122563584.

The previous prime is 469139009. The next prime is 469139059. The reversal of 469139040 is 40931964.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 469138986 and 469139004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 686539 + ... + 687221.

Almost surely, 2469139040 is an apocalyptic number.

469139040 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 469139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844689384).

469139040 is an abundant number, since it is smaller than the sum of its proper divisors (1220239728).

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

469139040 is a wasteful number, since it uses less digits than its factorization.

469139040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 469139040 is about 21659.6177251585. The cubic root of 469139040 is about 777.0229715485.

The spelling of 469139040 in words is "four hundred sixty-nine million, one hundred thirty-nine thousand, forty".