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48514048 = 210115973
BaseRepresentation
bin1011100100010…
…0010000000000
310101021202202121
42321010100000
544404422143
64451454024
71126235242
oct271042000
9111252677
1048514048
1125426360
12142b7314
13a087c4b
14662c092
1543d47ed
hex2e44400

48514048 has 88 divisors (see below), whose sum is σ = 109064160. Its totient is φ = 21381120.

The previous prime is 48514043. The next prime is 48514069. The reversal of 48514048 is 84041584.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×485140482 = 4707225706692608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48514043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 664540 + ... + 664612.

Almost surely, 248514048 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 48514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54532080).

48514048 is an abundant number, since it is smaller than the sum of its proper divisors (60550112).

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

48514048 is a wasteful number, since it uses less digits than its factorization.

48514048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 48514048 is about 6965.2026531896. The cubic root of 48514048 is about 364.7168580403.

The spelling of 48514048 in words is "forty-eight million, five hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 73 88 118 128 146 176 236 256 292 352 472 512 584 649 704 803 944 1024 1168 1298 1408 1606 1888 2336 2596 2816 3212 3776 4307 4672 5192 5632 6424 7552 8614 9344 10384 11264 12848 15104 17228 18688 20768 25696 30208 34456 37376 41536 47377 51392 60416 68912 74752 83072 94754 102784 137824 166144 189508 205568 275648 332288 379016 411136 551296 664576 758032 822272 1102592 1516064 2205184 3032128 4410368 6064256 12128512 24257024 48514048