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4319940672 = 263210097433
BaseRepresentation
bin1000000010111110…
…10001000001000000
3102011001201201112200
410001133101001000
532321401100142
61552355153200
7212023614135
oct40137210100
912131651480
104319940672
111917548403
12a068a5800
1353acb1918
142cda3858c
151a43c264c
hex1017d1040

4319940672 has 84 divisors (see below), whose sum is σ = 12396269340. Its totient is φ = 1438359552.

The previous prime is 4319940649. The next prime is 4319940673. The reversal of 4319940672 is 2760499134.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 708411456 + 3611529216 = 26616^2 + 60096^2 .

It is a super-3 number, since 3×43199406723 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4319940673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577468 + ... + 584900.

It is an arithmetic number, because the mean of its divisors is an integer number (147574635).

Almost surely, 24319940672 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 4319940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198134670).

4319940672 is an abundant number, since it is smaller than the sum of its proper divisors (8076328668).

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

4319940672 is a wasteful number, since it uses less digits than its factorization.

4319940672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4319940672 is about 65726.2555756830. The cubic root of 4319940672 is about 1628.6431143224.

The spelling of 4319940672 in words is "four billion, three hundred nineteen million, nine hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1009 2018 3027 4036 6054 7433 8072 9081 12108 14866 16144 18162 22299 24216 29732 32288 36324 44598 48432 59464 64576 66897 72648 89196 96864 118928 133794 145296 178392 193728 237856 267588 290592 356784 475712 535176 581184 713568 1070352 1427136 2140704 4281408 7499897 14999794 22499691 29999588 44999382 59999176 67499073 89998764 119998352 134998146 179997528 239996704 269996292 359995056 479993408 539992584 719990112 1079985168 1439980224 2159970336 4319940672