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4930835808 = 25341731312
BaseRepresentation
bin1001001011110011…
…01001010101100000
3110201122020102010110
410211321221111200
540044243221213
62133140531320
7233122261413
oct44571512540
913648212113
104930835808
112100367a18
12b573b0b40
13607723632
1434ac19b7a
151dcd435c3
hex125e69560

4930835808 has 144 divisors (see below), whose sum is σ = 13544154288. Its totient is φ = 1569484800.

The previous prime is 4930835803. The next prime is 4930835831. The reversal of 4930835808 is 8085380394.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4930835801) 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, 37639903 + ... + 37640033.

It is an arithmetic number, because the mean of its divisors is an integer number (94056627).

Almost surely, 24930835808 is an apocalyptic number.

4930835808 is a gapful number since it is divisible by the number (48) 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 4930835808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772077144).

4930835808 is an abundant number, since it is smaller than the sum of its proper divisors (8613318480).

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

4930835808 is a wasteful number, since it uses less digits than its factorization.

4930835808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 4930835808 is about 70219.9103388775. The cubic root of 4930835808 is about 1702.0547022076.

The spelling of 4930835808 in words is "four billion, nine hundred thirty million, eight hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 73 82 96 123 131 146 164 219 246 262 292 328 393 438 492 524 584 656 786 876 984 1048 1168 1312 1572 1752 1968 2096 2336 2993 3144 3504 3936 4192 5371 5986 6288 7008 8979 9563 10742 11972 12576 16113 17161 17958 19126 21484 23944 28689 32226 34322 35916 38252 42968 47888 51483 57378 64452 68644 71832 76504 85936 95776 102966 114756 128904 137288 143664 153008 171872 205932 229512 257808 274576 287328 306016 392083 411864 459024 515616 549152 703601 784166 823728 918048 1176249 1252753 1407202 1568332 1647456 2110803 2352498 2505506 2814404 3136664 3758259 4221606 4704996 5011012 5628808 6273328 7516518 8443212 9409992 10022024 11257616 12546656 15033036 16886424 18819984 20044048 22515232 30066072 33772848 37639968 40088096 51362873 60132144 67545696 102725746 120264288 154088619 205451492 308177238 410902984 616354476 821805968 1232708952 1643611936 2465417904 4930835808