Search a number
-
+
4633256280 = 2335313074057
BaseRepresentation
bin1000101000010100…
…11110000101011000
3102221220021210202110
410110022132011120
533442103200110
62043430432320
7222550012542
oct42412360530
912856253673
104633256280
111a68397024
12a938026a0
1358ab92483
1431d4b6692
151c1b61a20
hex11429e158

4633256280 has 128 divisors (see below), whose sum is σ = 14398433280. Its totient is φ = 1191490560.

The previous prime is 4633256273. The next prime is 4633256323. The reversal of 4633256280 is 826523364.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140012 + ... + 1144068.

It is an arithmetic number, because the mean of its divisors is an integer number (112487760).

Almost surely, 24633256280 is an apocalyptic number.

4633256280 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 4633256280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199216640).

4633256280 is an abundant number, since it is smaller than the sum of its proper divisors (9765177000).

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

4633256280 is a wasteful number, since it uses less digits than its factorization.

4633256280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 4633256280 is about 68068.0268554921. The cubic root of 4633256280 is about 1667.1017511221.

The spelling of 4633256280 in words is "four billion, six hundred thirty-three million, two hundred fifty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 307 310 372 465 614 620 744 921 930 1228 1240 1535 1842 1860 2456 3070 3684 3720 4057 4605 6140 7368 8114 9210 9517 12171 12280 16228 18420 19034 20285 24342 28551 32456 36840 38068 40570 47585 48684 57102 60855 76136 81140 95170 97368 114204 121710 125767 142755 162280 190340 228408 243420 251534 285510 377301 380680 486840 503068 571020 628835 754602 1006136 1142040 1245499 1257670 1509204 1886505 2490998 2515340 3018408 3736497 3773010 4981996 5030680 6227495 7472994 7546020 9963992 12454990 14945988 15092040 18682485 24909980 29891976 37364970 38610469 49819960 74729940 77220938 115831407 149459880 154441876 193052345 231662814 308883752 386104690 463325628 579157035 772209380 926651256 1158314070 1544418760 2316628140 4633256280