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4864534848 = 263212766499
BaseRepresentation
bin1001000011111001…
…01110100101000000
3110120000110222022100
410201330232211000
534430310103343
62122411510400
7231355602225
oct44174564500
913500428270
104864534848
1120769a3038
12b39158400
135c6a7b6b4
143420bb94c
151d70e89d3
hex121f2e940

4864534848 has 84 divisors (see below), whose sum is σ = 14053312000. Its totient is φ = 1608719616.

The previous prime is 4864534783. The next prime is 4864534861. The reversal of 4864534848 is 8484354684.

It is a happy number.

4864534848 is a `hidden beast` number, since 4 + 8 + 64 + 534 + 8 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4864534794 and 4864534803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39903 + ... + 106401.

Almost surely, 24864534848 is an apocalyptic number.

4864534848 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 4864534848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026656000).

4864534848 is an abundant number, since it is smaller than the sum of its proper divisors (9188777152).

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

4864534848 is a wasteful number, since it uses less digits than its factorization.

4864534848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66644 (or 66631 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The square root of 4864534848 is about 69746.2174458228. The cubic root of 4864534848 is about 1694.3915345446.

The spelling of 4864534848 in words is "four billion, eight hundred sixty-four million, five hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 144 192 254 288 381 508 576 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 8128 9144 12192 18288 24384 36576 66499 73152 132998 199497 265996 398994 531992 598491 797988 1063984 1196982 1595976 2127968 2393964 3191952 4255936 4787928 6383904 8445373 9575856 12767808 16890746 19151712 25336119 33781492 38303424 50672238 67562984 76008357 101344476 135125968 152016714 202688952 270251936 304033428 405377904 540503872 608066856 810755808 1216133712 1621511616 2432267424 4864534848