Search a number
-
+
48606272 = 26111347113
BaseRepresentation
bin1011100101101…
…0110001000000
310101110110021022
42321122301000
544420400042
64453445012
71130101151
oct271326100
9111413238
1048606272
1125489680
1214340768
13a0bac10
146653928
154401cd2
hex2e5ac40

48606272 has 112 divisors (see below), whose sum is σ = 116750592. Its totient is φ = 19783680.

The previous prime is 48606269. The next prime is 48606293. The reversal of 48606272 is 27260684.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430088 + ... + 430200.

It is an arithmetic number, because the mean of its divisors is an integer number (1042416).

Almost surely, 248606272 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 48606272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58375296).

48606272 is an abundant number, since it is smaller than the sum of its proper divisors (68144320).

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

48606272 is a wasteful number, since it uses less digits than its factorization.

48606272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 48606272 is about 6971.8198485044. The cubic root of 48606272 is about 364.9478176480.

The spelling of 48606272 in words is "forty-eight million, six hundred six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 47 52 64 88 94 104 113 143 176 188 208 226 286 352 376 416 452 517 572 611 704 752 832 904 1034 1144 1222 1243 1469 1504 1808 2068 2288 2444 2486 2938 3008 3616 4136 4576 4888 4972 5311 5876 6721 7232 8272 9152 9776 9944 10622 11752 13442 16159 16544 19552 19888 21244 23504 26884 32318 33088 39104 39776 42488 47008 53768 58421 64636 69043 79552 84976 94016 107536 116842 129272 138086 169952 215072 233684 258544 276172 339904 430144 467368 517088 552344 759473 934736 1034176 1104688 1518946 1869472 2209376 3037892 3738944 4418752 6075784 12151568 24303136 48606272