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48434320 = 24511232393
BaseRepresentation
bin1011100011000…
…0110010010000
310101010201101201
42320300302100
544344344240
64450040544
71125453634
oct270606220
9111121351
1048434320
1125381470
1214279154
13a05a87c
14660adc4
1543bad9a
hex2e30c90

48434320 has 80 divisors (see below), whose sum is σ = 128241792. Its totient is φ = 16839680.

The previous prime is 48434317. The next prime is 48434329. The reversal of 48434320 is 2343484.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48434329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19044 + ... + 21436.

Almost surely, 248434320 is an apocalyptic number.

48434320 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 48434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120896).

48434320 is an abundant number, since it is smaller than the sum of its proper divisors (79807472).

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

48434320 is a wasteful number, since it uses less digits than its factorization.

48434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 48434320 is about 6959.4769918436. The cubic root of 48434320 is about 364.5169565655.

The spelling of 48434320 in words is "forty-eight million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2393 2530 4048 4786 5060 9572 10120 11965 19144 20240 23930 26323 38288 47860 52646 55039 95720 105292 110078 131615 191440 210584 220156 263230 275195 421168 440312 526460 550390 605429 880624 1052920 1100780 1210858 2105840 2201560 2421716 3027145 4403120 4843432 6054290 9686864 12108580 24217160 48434320