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48128740 = 22511317057
BaseRepresentation
bin1011011110011…
…0001011100100
310100120012012221
42313212023210
544310104430
64435322124
71123042012
oct267461344
9110505187
1048128740
1125192920
1214150344
139c8175a
14656b8b2
15435a57a
hex2de62e4

48128740 has 48 divisors (see below), whose sum is σ = 113831424. Its totient is φ = 16934400.

The previous prime is 48128723. The next prime is 48128741. The reversal of 48128740 is 4782184.

48128740 = T395 + T396 + ... + T704.

It is a super-2 number, since 2×481287402 = 4632751227975200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48128696 and 48128705.

It is not an unprimeable number, because it can be changed into a prime (48128741) 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, 3292 + ... + 10348.

It is an arithmetic number, because the mean of its divisors is an integer number (2371488).

Almost surely, 248128740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48128740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56915712).

48128740 is an abundant number, since it is smaller than the sum of its proper divisors (65702684).

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

48128740 is a wasteful number, since it uses less digits than its factorization.

48128740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 48128740 is about 6937.4880180077. The cubic root of 48128740 is about 363.7487397759.

The spelling of 48128740 in words is "forty-eight million, one hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 7057 14114 28228 35285 70570 77627 141140 155254 218767 310508 388135 437534 776270 875068 1093835 1552540 2187670 2406437 4375340 4812874 9625748 12032185 24064370 48128740