Search a number
-
+
48508880 = 2457292103
BaseRepresentation
bin1011100100001…
…0111111010000
310101021111200012
42321002333100
544404241010
64451414052
71126214210
oct271027720
9111244605
1048508880
1125422492
12142b4328
13a0857a4
14662a240
1543d3005
hex2e42fd0

48508880 has 120 divisors (see below), whose sum is σ = 134788992. Its totient is φ = 15902208.

The previous prime is 48508879. The next prime is 48508897. The reversal of 48508880 is 8880584.

48508880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×485088802 = 4706222877708800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 470909 + ... + 471011.

Almost surely, 248508880 is an apocalyptic number.

48508880 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 48508880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67394496).

48508880 is an abundant number, since it is smaller than the sum of its proper divisors (86280112).

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

48508880 is a wasteful number, since it uses less digits than its factorization.

48508880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 41.

The square root of 48508880 is about 6964.8316562570. The cubic root of 48508880 is about 364.7039069898.

The spelling of 48508880 in words is "forty-eight million, five hundred eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 103 112 116 140 145 203 206 232 280 290 406 412 464 515 560 580 721 812 824 841 1015 1030 1160 1442 1624 1648 1682 2030 2060 2320 2884 2987 3248 3364 3605 4060 4120 4205 5768 5887 5974 6728 7210 8120 8240 8410 11536 11774 11948 13456 14420 14935 16240 16820 20909 23548 23896 28840 29435 29870 33640 41818 47096 47792 57680 58870 59740 67280 83636 86623 94192 104545 117740 119480 167272 173246 209090 235480 238960 334544 346492 418180 433115 470960 606361 692984 836360 866230 1212722 1385968 1672720 1732460 2425444 3031805 3464920 4850888 6063610 6929840 9701776 12127220 24254440 48508880