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4672549440 = 2632513373373
BaseRepresentation
bin1000101101000000…
…10111001001000000
3110001122020002211200
410112200113021000
534032133040230
62051352541200
7223535005056
oct42640271100
913048202750
104672549440
111a88594609
12aa49b1800
1359606c370
143247c41d6
151c5324160
hex116817240

4672549440 has 336 divisors, whose sum is σ = 17780953008. Its totient is φ = 1118748672.

The previous prime is 4672549439. The next prime is 4672549447. The reversal of 4672549440 is 449452764.

4672549440 is a `hidden beast` number, since 4 + 67 + 2 + 549 + 4 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 414203904 + 4258345536 = 20352^2 + 65256^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4672549447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1383594 + ... + 1386966.

It is an arithmetic number, because the mean of its divisors is an integer number (52919503).

Almost surely, 24672549440 is an apocalyptic number.

4672549440 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 4672549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8890476504).

4672549440 is an abundant number, since it is smaller than the sum of its proper divisors (13108403568).

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

4672549440 is a wasteful number, since it uses less digits than its factorization.

4672549440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4672549440 is about 68356.0490373749. The cubic root of 4672549440 is about 1671.8012095490.

The spelling of 4672549440 in words is "four billion, six hundred seventy-two million, five hundred forty-nine thousand, four hundred forty".