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48310080 = 2635721379
BaseRepresentation
bin1011100001001…
…0011101000000
310100220101222020
42320102131000
544331410310
64443241440
71124425500
oct270223500
9110811866
1048310080
11252a7095
1214219280
13a016160
1465b7a00
154394170
hex2e12740

48310080 has 336 divisors, whose sum is σ = 194584320. Its totient is φ = 10063872.

The previous prime is 48310079. The next prime is 48310091. The reversal of 48310080 is 8001384.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 48310080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611481 + ... + 611559.

It is an arithmetic number, because the mean of its divisors is an integer number (579120).

Almost surely, 248310080 is an apocalyptic number.

48310080 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 48310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292160).

48310080 is an abundant number, since it is smaller than the sum of its proper divisors (146274240).

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

48310080 is a wasteful number, since it uses less digits than its factorization.

48310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 48310080 is about 6950.5453023486. The cubic root of 48310080 is about 364.2050127158.

The spelling of 48310080 in words is "forty-eight million, three hundred ten thousand, eighty".