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4672740608 = 2831718293
BaseRepresentation
bin1000101101000010…
…00101110100000000
3110001122120211001222
410112201011310000
534032210144413
62051401014212
7223536432314
oct42641056400
913048524058
104672740608
111a887051a8
12aa4a84368
13596108393
14324833b44
151c5360b08
hex116845d00

4672740608 has 72 divisors (see below), whose sum is σ = 9764891136. Its totient is φ = 2228889600.

The previous prime is 4672740607. The next prime is 4672740617. The reversal of 4672740608 is 8060472764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672740607) 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 7 ways as a sum of consecutive naturals, for example, 559310 + ... + 567602.

It is an arithmetic number, because the mean of its divisors is an integer number (135623488).

Almost surely, 24672740608 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 4672740608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882445568).

4672740608 is an abundant number, since it is smaller than the sum of its proper divisors (5092150528).

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

4672740608 is an equidigital number, since it uses as much as digits as its factorization.

4672740608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8411 (or 8397 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The square root of 4672740608 is about 68357.4473484784. The cubic root of 4672740608 is about 1671.8240087039.

The spelling of 4672740608 in words is "four billion, six hundred seventy-two million, seven hundred forty thousand, six hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 248 256 284 496 568 992 1136 1984 2201 2272 3968 4402 4544 7936 8293 8804 9088 16586 17608 18176 33172 35216 66344 70432 132688 140864 257083 265376 281728 514166 530752 563456 588803 1028332 1061504 1177606 2056664 2123008 2355212 4113328 4710424 8226656 9420848 16453312 18252893 18841696 32906624 36505786 37683392 65813248 73011572 75366784 146023144 150733568 292046288 584092576 1168185152 2336370304 4672740608