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48886272 = 29321032
BaseRepresentation
bin1011101001111…
…1001000000000
310101222200100200
42322133020000
5100003330042
64503445200
71132345401
oct272371000
9111880320
1048886272
112565aa86
1214456800
13a1884b6
1466c79a8
154459c4c
hex2e9f200

48886272 has 90 divisors (see below), whose sum is σ = 142472187. Its totient is φ = 16137216.

The previous prime is 48886249. The next prime is 48886273. The reversal of 48886272 is 27268884.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 24443136 + 24443136 = 4944^2 + 4944^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4944.

It is not an unprimeable number, because it can be changed into a prime (48886273) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 474573 + ... + 474675.

Almost surely, 248886272 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 48886272

48886272 is an abundant number, since it is smaller than the sum of its proper divisors (93585915).

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

48886272 is an equidigital number, since it uses as much as digits as its factorization.

48886272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 108 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 48886272 is about 6991.8718523726. The cubic root of 48886272 is about 365.6472458961.

The spelling of 48886272 in words is "forty-eight million, eight hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 256 288 309 384 412 512 576 618 768 824 927 1152 1236 1536 1648 1854 2304 2472 3296 3708 4608 4944 6592 7416 9888 10609 13184 14832 19776 21218 26368 29664 31827 39552 42436 52736 59328 63654 79104 84872 95481 118656 127308 158208 169744 190962 237312 254616 339488 381924 474624 509232 678976 763848 1018464 1357952 1527696 2036928 2715904 3055392 4073856 5431808 6110784 8147712 12221568 16295424 24443136 48886272