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48710720 = 265292181
BaseRepresentation
bin1011100111010…
…0010001000000
310101122202112202
42321310101000
544432220340
64500012332
71131014522
oct271642100
9111582482
1048710720
11255500a3
12143910a8
13a126616
14667da12
154422c15
hex2e74440

48710720 has 84 divisors (see below), whose sum is σ = 120793764. Its totient is φ = 18708480.

The previous prime is 48710693. The next prime is 48710731. The reversal of 48710720 is 2701784.

It can be written as a sum of positive squares in 6 ways, for example, as 6927424 + 41783296 = 2632^2 + 6464^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

48710720 is a Rhonda number in base 15.

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, 269030 + ... + 269210.

It is an arithmetic number, because the mean of its divisors is an integer number (1438021).

Almost surely, 248710720 is an apocalyptic number.

48710720 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 48710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60396882).

48710720 is an abundant number, since it is smaller than the sum of its proper divisors (72083044).

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

48710720 is a wasteful number, since it uses less digits than its factorization.

48710720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 48710720 is about 6979.3065558120. The cubic root of 48710720 is about 365.2090377004.

The spelling of 48710720 in words is "forty-eight million, seven hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 181 232 290 320 362 464 580 724 841 905 928 1160 1448 1682 1810 1856 2320 2896 3364 3620 4205 4640 5249 5792 6728 7240 8410 9280 10498 11584 13456 14480 16820 20996 26245 26912 28960 33640 41992 52490 53824 57920 67280 83984 104980 134560 152221 167968 209960 269120 304442 335936 419920 608884 761105 839840 1217768 1522210 1679680 2435536 3044420 4871072 6088840 9742144 12177680 24355360 48710720