Search a number
-
+
3891796416 = 26336533449
BaseRepresentation
bin1110011111111000…
…0001100111000000
3101001020002202001000
43213332001213000
530432244441131
61442102412000
7165304503144
oct34776014700
911036082030
103891796416
1117178aa282
12907431000
134a0397c21
1428cc29224
1517b9eece6
hexe7f819c0

3891796416 has 112 divisors (see below), whose sum is σ = 11462004000. Its totient is φ = 1294903296.

The previous prime is 3891796387. The next prime is 3891796421. The reversal of 3891796416 is 6146971983.

3891796416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

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, 1126660 + ... + 1130108.

Almost surely, 23891796416 is an apocalyptic number.

3891796416 is a gapful number since it is divisible by the number (36) 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 3891796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731002000).

3891796416 is an abundant number, since it is smaller than the sum of its proper divisors (7570207584).

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

3891796416 is a wasteful number, since it uses less digits than its factorization.

3891796416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123 (or 4107 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 3891796416 is about 62384.2641697408. The cubic root of 3891796416 is about 1572.9564717086.

The spelling of 3891796416 in words is "three billion, eight hundred ninety-one million, seven hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 653 864 1306 1728 1959 2612 3449 3918 5224 5877 6898 7836 10347 10448 11754 13796 15672 17631 20694 20896 23508 27592 31041 31344 35262 41388 41792 47016 55184 62082 62688 70524 82776 93123 94032 110368 124164 125376 141048 165552 186246 188064 220736 248328 282096 331104 372492 376128 496656 564192 662208 744984 993312 1128384 1489968 1986624 2252197 2979936 4504394 5959872 6756591 9008788 13513182 18017576 20269773 27026364 36035152 40539546 54052728 60809319 72070304 81079092 108105456 121618638 144140608 162158184 216210912 243237276 324316368 432421824 486474552 648632736 972949104 1297265472 1945898208 3891796416