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466140048 = 243111018741
BaseRepresentation
bin11011110010001…
…011101110010000
31012111010100221020
4123302023232100
51423312440143
6114130555440
714360060613
oct3362135620
91174110836
10466140048
1121a13aa10
12110138b80
137575b21a
1445ca017a
152adca883
hex1bc8bb90

466140048 has 80 divisors (see below), whose sum is σ = 1326825792. Its totient is φ = 139840000.

The previous prime is 466140007. The next prime is 466140049. The reversal of 466140048 is 840041664.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (466140049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48958 + ... + 57698.

Almost surely, 2466140048 is an apocalyptic number.

466140048 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 466140048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663412896).

466140048 is an abundant number, since it is smaller than the sum of its proper divisors (860685744).

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

466140048 is a wasteful number, since it uses less digits than its factorization.

466140048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8864 (or 8858 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 466140048 is about 21590.2767004038. The cubic root of 466140048 is about 775.3637130124.

The spelling of 466140048 in words is "four hundred sixty-six million, one hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4444 4848 6666 8741 8888 13332 17482 17776 26223 26664 34964 52446 53328 69928 96151 104892 139856 192302 209784 288453 384604 419568 576906 769208 882841 1153812 1538416 1765682 2307624 2648523 3531364 4615248 5297046 7062728 9711251 10594092 14125456 19422502 21188184 29133753 38845004 42376368 58267506 77690008 116535012 155380016 233070024 466140048