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4072491312 = 2431918124671
BaseRepresentation
bin1111001010111101…
…0100100100110000
3101111211002222211120
43302233110210300
531320024210222
61512035342240
7202630414341
oct36257244460
911454088746
104072491312
1117aa8a6aaa
12957a51980
134cb953196
142a8c240c8
1518c7e415c
hexf2bd4930

4072491312 has 80 divisors (see below), whose sum is σ = 11135953920. Its totient is φ = 1278892800.

The previous prime is 4072491301. The next prime is 4072491323. The reversal of 4072491312 is 2131942704.

4072491312 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 (4072491301) and next prime (4072491323).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152737 + ... + 177407.

It is an arithmetic number, because the mean of its divisors is an integer number (139199424).

Almost surely, 24072491312 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 4072491312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567976960).

4072491312 is an abundant number, since it is smaller than the sum of its proper divisors (7063462608).

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

4072491312 is a wasteful number, since it uses less digits than its factorization.

4072491312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24882 (or 24876 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 4072491312 is about 63816.0740879600. The cubic root of 4072491312 is about 1596.9330979928.

The spelling of 4072491312 in words is "four billion, seventy-two million, four hundred ninety-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 181 228 304 362 456 543 724 912 1086 1448 2172 2896 3439 4344 6878 8688 10317 13756 20634 24671 27512 41268 49342 55024 74013 82536 98684 148026 165072 197368 296052 394736 468749 592104 937498 1184208 1406247 1874996 2812494 3749992 4465451 5624988 7499984 8930902 11249976 13396353 17861804 22499952 26792706 35723608 53585412 71447216 84843569 107170824 169687138 214341648 254530707 339374276 509061414 678748552 1018122828 1357497104 2036245656 4072491312