Search a number
-
+
464295980 = 22537718837
BaseRepresentation
bin11011101011001…
…001100000101100
31012100122200100102
4123223021200230
51422324432410
6114023250232
714335310411
oct3353114054
91170580312
10464295980
112190a0495
1210b5a9978
1375263a65
1445940108
152ab642a5
hex1bac982c

464295980 has 48 divisors (see below), whose sum is σ = 1015592256. Its totient is φ = 178133760.

The previous prime is 464295977. The next prime is 464295991. The reversal of 464295980 is 89592464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48122 + ... + 56958.

It is an arithmetic number, because the mean of its divisors is an integer number (21158172).

Almost surely, 2464295980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464295980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507796128).

464295980 is an abundant number, since it is smaller than the sum of its proper divisors (551296276).

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

464295980 is a wasteful number, since it uses less digits than its factorization.

464295980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8954 (or 8952 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 464295980 is about 21547.5283965470. The cubic root of 464295980 is about 774.3399055026.

The spelling of 464295980 in words is "four hundred sixty-four million, two hundred ninety-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 37 71 74 142 148 185 284 355 370 710 740 1420 2627 5254 8837 10508 13135 17674 26270 35348 44185 52540 88370 176740 326969 627427 653938 1254854 1307876 1634845 2509708 3137135 3269690 6274270 6539380 12548540 23214799 46429598 92859196 116073995 232147990 464295980