Search a number
-
+
46282707240 = 2335711191132333
BaseRepresentation
bin101011000110101010…
…100001000100101000
311102110112002010121020
4223012222201010220
51224241333112430
633132331012440
73225633343350
oct530652410450
9142415063536
1046282707240
11186a0421a80
128b77b9a120
1344978a3003
142350b6bb60
15130d364b10
hexac6aa1128

46282707240 has 512 divisors, whose sum is σ = 183911731200. Its totient is φ = 9026519040.

The previous prime is 46282707217. The next prime is 46282707277. The reversal of 46282707240 is 4270728264.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 46282707192 and 46282707201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19837114 + ... + 19839446.

It is an arithmetic number, because the mean of its divisors is an integer number (359202600).

Almost surely, 246282707240 is an apocalyptic number.

46282707240 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 46282707240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91955865600).

46282707240 is an abundant number, since it is smaller than the sum of its proper divisors (137629023960).

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

46282707240 is a wasteful number, since it uses less digits than its factorization.

46282707240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 46282707240 in words is "forty-six billion, two hundred eighty-two million, seven hundred seven thousand, two hundred forty".