Search a number
-
+
467140608 = 2193411
BaseRepresentation
bin11011110110000…
…000000000000000
31012120000012110000
4123312000000000
51424041444413
6114204240000
714401425654
oct3366000000
91176005400
10467140608
1121a763720
12110540000
1375a1b77c
1446080a64
152b027073
hex1bd80000

467140608 has 200 divisors, whose sum is σ = 1522530900. Its totient is φ = 141557760.

The previous prime is 467140601. The next prime is 467140673. The reversal of 467140608 is 806041764.

467140608 is a `hidden beast` number, since 4 + 6 + 7 + 1 + 40 + 608 = 666.

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

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467140601) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42467323 + ... + 42467333.

Almost surely, 2467140608 is an apocalyptic number.

467140608 is a gapful number since it is divisible by the number (48) 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 467140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761265450).

467140608 is an abundant number, since it is smaller than the sum of its proper divisors (1055390292).

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

467140608 is an frugal number, since it uses more digits than its factorization.

467140608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 467140608 is about 21613.4358212664. The cubic root of 467140608 is about 775.9180839595.

The spelling of 467140608 in words is "four hundred sixty-seven million, one hundred forty thousand, six hundred eight".