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4800230456 = 237235576691
BaseRepresentation
bin1000111100001110…
…11011010000111000
3110101112110222021012
410132013123100320
534312324333311
62112153333052
7226645166660
oct43607332070
913345428235
104800230456
11204367220a
12b1b707188
135b6655468
1433773d1a0
151d164578b
hex11e1db438

4800230456 has 64 divisors (see below), whose sum is σ = 10754311680. Its totient is φ = 1963969920.

The previous prime is 4800230447. The next prime is 4800230497. The reversal of 4800230456 is 6540320084.

It is a super-3 number, since 3×48002304563 (a number of 30 digits) contains 333 as substring.

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, 714071 + ... + 720761.

It is an arithmetic number, because the mean of its divisors is an integer number (168036120).

Almost surely, 24800230456 is an apocalyptic number.

4800230456 is a gapful number since it is divisible by the number (46) 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 4800230456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377155840).

4800230456 is an abundant number, since it is smaller than the sum of its proper divisors (5954081224).

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

4800230456 is a wasteful number, since it uses less digits than its factorization.

4800230456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 4800230456 is about 69283.6954557131. The cubic root of 4800230456 is about 1686.8923265768.

The spelling of 4800230456 in words is "four billion, eight hundred million, two hundred thirty thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 557 644 1114 1288 2228 3899 4456 6691 7798 12811 13382 15596 25622 26764 31192 46837 51244 53528 89677 93674 102488 153893 179354 187348 307786 358708 374696 615572 717416 1077251 1231144 2154502 3726887 4309004 7453774 8618008 14907548 26088209 29815096 52176418 85718401 104352836 171436802 208705672 342873604 600028807 685747208 1200057614 2400115228 4800230456