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4061672440 = 235731146643
BaseRepresentation
bin1111001000011000…
…0011001111111000
3101111001202100010121
43302012003033320
531304242004230
61511011423024
7202436434420
oct36206031770
911431670117
104061672440
1117a4787691
129542b4a74
134c9635997
142a7609480
1518b8a877a
hexf21833f8

4061672440 has 64 divisors (see below), whose sum is σ = 10478108160. Its totient is φ = 1388065920.

The previous prime is 4061672431. The next prime is 4061672449. The reversal of 4061672440 is 442761604.

4061672440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4061672431) and next prime (4061672449).

It is a junction number, because it is equal to n+sod(n) for n = 4061672396 and 4061672405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4061672449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63759 + ... + 110401.

It is an arithmetic number, because the mean of its divisors is an integer number (163720440).

Almost surely, 24061672440 is an apocalyptic number.

4061672440 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 4061672440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239054080).

4061672440 is an abundant number, since it is smaller than the sum of its proper divisors (6416435720).

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

4061672440 is a wasteful number, since it uses less digits than its factorization.

4061672440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46972 (or 46968 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 4061672440 is about 63731.2516745121. The cubic root of 4061672440 is about 1595.5177205826.

The spelling of 4061672440 in words is "four billion, sixty-one million, six hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 311 622 1244 1555 2177 2488 3110 4354 6220 8708 10885 12440 17416 21770 43540 46643 87080 93286 186572 233215 326501 373144 466430 653002 932860 1306004 1632505 1865720 2612008 3265010 6530020 13060040 14505973 29011946 58023892 72529865 101541811 116047784 145059730 203083622 290119460 406167244 507709055 580238920 812334488 1015418110 2030836220 4061672440