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3806223948 = 2232437134631
BaseRepresentation
bin1110001011011110…
…0101111001001100
3100211021002012200100
43202313211321030
530243343131243
61425404331100
7163215240552
oct34267457114
910737065610
103806223948
11168357242a
128a2843a90
13488736327
14281711bd2
1517424a0d3
hexe2de5e4c

3806223948 has 72 divisors (see below), whose sum is σ = 9983990016. Its totient is φ = 1221746400.

The previous prime is 3806223947. The next prime is 3806223979. The reversal of 3806223948 is 8493226083.

3806223948 is a `hidden beast` number, since 380 + 6 + 223 + 9 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (3806223943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92593 + ... + 127223.

It is an arithmetic number, because the mean of its divisors is an integer number (138666528).

Almost surely, 23806223948 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 3806223948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991995008).

3806223948 is an abundant number, since it is smaller than the sum of its proper divisors (6177766068).

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

3806223948 is a wasteful number, since it uses less digits than its factorization.

3806223948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34755 (or 34750 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3806223948 is about 61694.6022598412. The cubic root of 3806223948 is about 1561.3422520688.

The spelling of 3806223948 in words is "three billion, eight hundred six million, two hundred twenty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 71 86 129 142 172 213 258 284 387 426 516 639 774 852 1278 1548 2556 3053 6106 9159 12212 18318 27477 34631 36636 54954 69262 103893 109908 138524 207786 311679 415572 623358 1246716 1489133 2458801 2978266 4467399 4917602 5956532 7376403 8934798 9835204 13402197 14752806 17869596 22129209 26804394 29505612 44258418 53608788 88516836 105728443 211456886 317185329 422913772 634370658 951555987 1268741316 1903111974 3806223948