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4780245960 = 2332572535113
BaseRepresentation
bin1000111001110110…
…01100001111001000
3110100010212122200200
410130323030033020
534242220332320
62110201132200
7226313264100
oct43473141710
913303778620
104780245960
1120333625a6
12b14a8a060
135b2479109
14334c1a200
151ce9e9290
hex11cecc3c8

4780245960 has 288 divisors, whose sum is σ = 18416843640. Its totient is φ = 1071802368.

The previous prime is 4780245959. The next prime is 4780245979. The reversal of 4780245960 is 695420874.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2831729796 + 1948516164 = 53214^2 + 44142^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 932364 + ... + 937476.

Almost surely, 24780245960 is an apocalyptic number.

4780245960 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 4780245960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9208421820).

4780245960 is an abundant number, since it is smaller than the sum of its proper divisors (13636597680).

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

4780245960 is a wasteful number, since it uses less digits than its factorization.

4780245960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4780245960 is about 69139.3228199409. The cubic root of 4780245960 is about 1684.5480929667.

The spelling of 4780245960 in words is "four billion, seven hundred eighty million, two hundred forty-five thousand, nine hundred sixty".