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48701280 = 2535241421
BaseRepresentation
bin1011100111000…
…1111101100000
310101122021121010
42321301331200
544431420110
64455500520
71130645145
oct271617540
9111567533
1048701280
1125543aa1
1214387740
13a122234
14667a3cc
154420020
hex2e71f60

48701280 has 96 divisors (see below), whose sum is σ = 154411488. Its totient is φ = 12902400.

The previous prime is 48701273. The next prime is 48701297. The reversal of 48701280 is 8210784.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 115470 + ... + 115890.

It is an arithmetic number, because the mean of its divisors is an integer number (1608453).

Almost surely, 248701280 is an apocalyptic number.

48701280 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 48701280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77205744).

48701280 is an abundant number, since it is smaller than the sum of its proper divisors (105710208).

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

48701280 is a wasteful number, since it uses less digits than its factorization.

48701280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 48701280 is about 6978.6302380911. The cubic root of 48701280 is about 365.1854440161.

The spelling of 48701280 in words is "forty-eight million, seven hundred one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 241 421 480 482 723 842 964 1205 1263 1446 1684 1928 2105 2410 2526 2892 3368 3615 3856 4210 4820 5052 5784 6315 6736 7230 7712 8420 9640 10104 11568 12630 13472 14460 16840 19280 20208 23136 25260 28920 33680 38560 40416 50520 57840 67360 101040 101461 115680 202080 202922 304383 405844 507305 608766 811688 1014610 1217532 1521915 1623376 2029220 2435064 3043830 3246752 4058440 4870128 6087660 8116880 9740256 12175320 16233760 24350640 48701280