Search a number
-
+
467380056 = 23311132331191
BaseRepresentation
bin11011110110111…
…010011101011000
31012120110100220110
4123312322131120
51424122130211
6114213324320
714403444033
oct3366723530
91176410813
10467380056
1121a907610
121106366a0
1375aa3760
144610401a
152b072ea6
hex1bdba758

467380056 has 256 divisors, whose sum is σ = 1486356480. Its totient is φ = 120384000.

The previous prime is 467380027. The next prime is 467380073. The reversal of 467380056 is 650083764.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 467379996 and 467380023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2446921 + ... + 2447111.

It is an arithmetic number, because the mean of its divisors is an integer number (5806080).

Almost surely, 2467380056 is an apocalyptic number.

467380056 is a gapful number since it is divisible by the number (46) 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 467380056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743178240).

467380056 is an abundant number, since it is smaller than the sum of its proper divisors (1018976424).

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

467380056 is a wasteful number, since it uses less digits than its factorization.

467380056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 467380056 is about 21618.9744437612. The cubic root of 467380056 is about 776.0506352689.

The spelling of 467380056 in words is "four hundred sixty-seven million, three hundred eighty thousand, fifty-six".