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467723040 = 25351731432
BaseRepresentation
bin11011111000001…
…110001100100000
31012121002210101120
4123320032030200
51424214114130
6114224532240
714406403011
oct3370161440
91177083346
10467723040
11220021274
12110781080
1375b938c5
1446193008
152b0de910
hex1be0e320

467723040 has 288 divisors, whose sum is σ = 1648636416. Its totient is φ = 110960640.

The previous prime is 467723029. The next prime is 467723059. The reversal of 467723040 is 40327764.

It is a junction number, because it is equal to n+sod(n) for n = 467722992 and 467723010.

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 47 ways as a sum of consecutive naturals, for example, 10877259 + ... + 10877301.

It is an arithmetic number, because the mean of its divisors is an integer number (5724432).

Almost surely, 2467723040 is an apocalyptic number.

467723040 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 467723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824318208).

467723040 is an abundant number, since it is smaller than the sum of its proper divisors (1180913376).

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

467723040 is a wasteful number, since it uses less digits than its factorization.

467723040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 467723040 is about 21626.9054651839. The cubic root of 467723040 is about 776.2404221917.

The spelling of 467723040 in words is "four hundred sixty-seven million, seven hundred twenty-three thousand, forty".