Search a number
-
+
48875328 = 2632531601
BaseRepresentation
bin1011101001110…
…0011101000000
310101222010100100
42322130131000
5100003002303
64503322400
71132301445
oct272343500
9111863310
1048875328
1125652837
1214450400
13a183518
1466c39cc
1544568a3
hex2e9c740

48875328 has 84 divisors (see below), whose sum is σ = 142824708. Its totient is φ = 15974400.

The previous prime is 48875317. The next prime is 48875341. The reversal of 48875328 is 82357884.

It can be written as a sum of positive squares in 2 ways, for example, as 44515584 + 4359744 = 6672^2 + 2088^2 .

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, 29728 + ... + 31328.

Almost surely, 248875328 is an apocalyptic number.

48875328 is a gapful number since it is divisible by the number (48) 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 48875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71412354).

48875328 is an abundant number, since it is smaller than the sum of its proper divisors (93949380).

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

48875328 is a wasteful number, since it uses less digits than its factorization.

48875328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1659 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 48875328 is about 6991.0891855275. The cubic root of 48875328 is about 365.6199584665.

The spelling of 48875328 in words is "forty-eight million, eight hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1601 1696 1908 2544 3202 3392 3816 4803 5088 6404 7632 9606 10176 12808 14409 15264 19212 25616 28818 30528 38424 51232 57636 76848 84853 102464 115272 153696 169706 230544 254559 307392 339412 461088 509118 678824 763677 922176 1018236 1357648 1527354 2036472 2715296 3054708 4072944 5430592 6109416 8145888 12218832 16291776 24437664 48875328