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48704720 = 2453141479
BaseRepresentation
bin1011100111001…
…0110011010000
310101122110022112
42321302303100
544432022340
64455524452
71130661161
oct271626320
9111573275
1048704720
1125546639
1214389728
13a12397c
14667b768
154421065
hex2e72cd0

48704720 has 80 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 18355200.

The previous prime is 48704699. The next prime is 48704743. The reversal of 48704720 is 2740784.

48704720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101441 + ... + 101919.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 248704720 is an apocalyptic number.

48704720 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 48704720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

48704720 is an abundant number, since it is smaller than the sum of its proper divisors (71287600).

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

48704720 is a wasteful number, since it uses less digits than its factorization.

48704720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 48704720 is about 6978.8767004440. The cubic root of 48704720 is about 365.1940420677.

The spelling of 48704720 in words is "forty-eight million, seven hundred four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 41 62 80 82 124 155 164 205 248 310 328 410 479 496 620 656 820 958 1240 1271 1640 1916 2395 2480 2542 3280 3832 4790 5084 6355 7664 9580 10168 12710 14849 19160 19639 20336 25420 29698 38320 39278 50840 59396 74245 78556 98195 101680 118792 148490 157112 196390 237584 296980 314224 392780 593960 608809 785560 1187920 1217618 1571120 2435236 3044045 4870472 6088090 9740944 12176180 24352360 48704720