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48580968 = 233172331167
BaseRepresentation
bin1011100101010…
…0100101101000
310101102011120010
42321110211220
544414042333
64453131520
71126634322
oct271244550
9111364503
1048580968
1125471667
1214329ba0
13a0ac547
146648612
1543e9563
hex2e54968

48580968 has 128 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 14023680.

The previous prime is 48580933. The next prime is 48580993. The reversal of 48580968 is 86908584.

It is a super-2 number, since 2×485809682 = 4720220903634048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290821 + ... + 290987.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 248580968 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 48580968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

48580968 is an abundant number, since it is smaller than the sum of its proper divisors (90764952).

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

48580968 is a wasteful number, since it uses less digits than its factorization.

48580968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 48580968 is about 6970.0048780471. The cubic root of 48580968 is about 364.8844771081.

The spelling of 48580968 in words is "forty-eight million, five hundred eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 23 24 31 34 46 51 62 68 69 92 93 102 124 136 138 167 184 186 204 248 276 334 372 391 408 501 527 552 668 713 744 782 1002 1054 1173 1336 1426 1564 1581 2004 2108 2139 2346 2839 2852 3128 3162 3841 4008 4216 4278 4692 5177 5678 5704 6324 7682 8517 8556 9384 10354 11356 11523 12121 12648 15364 15531 17034 17112 20708 22712 23046 24242 30728 31062 34068 36363 41416 46092 48484 62124 65297 68136 72726 88009 92184 96968 119071 124248 130594 145452 176018 195891 238142 261188 264027 290904 352036 357213 391782 476284 522376 528054 704072 714426 783564 952568 1056108 1428852 1567128 2024207 2112216 2857704 4048414 6072621 8096828 12145242 16193656 24290484 48580968