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102942048 = 25311711373
BaseRepresentation
bin1100010001011…
…00010101100000
321011200222221110
412020230111200
5202323121143
614114223320
72356664406
oct610542540
9234628843
10102942048
1153120980
122a584b40
1318433971
14d959476
159086533
hex622c560

102942048 has 96 divisors (see below), whose sum is σ = 299158272. Its totient is φ = 30732800.

The previous prime is 102942023. The next prime is 102942053. The reversal of 102942048 is 840249201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74290 + ... + 75662.

It is an arithmetic number, because the mean of its divisors is an integer number (3116232).

Almost surely, 2102942048 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 102942048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149579136).

102942048 is an abundant number, since it is smaller than the sum of its proper divisors (196216224).

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

102942048 is a wasteful number, since it uses less digits than its factorization.

102942048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 102942048 is about 10146.0360732653. The cubic root of 102942048 is about 468.6668847479. Note that the first 3 decimals are identical.

The spelling of 102942048 in words is "one hundred two million, nine hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 213 264 284 352 426 528 568 781 852 1056 1136 1373 1562 1704 2272 2343 2746 3124 3408 4119 4686 5492 6248 6816 8238 9372 10984 12496 15103 16476 18744 21968 24992 30206 32952 37488 43936 45309 60412 65904 74976 90618 97483 120824 131808 181236 194966 241648 292449 362472 389932 483296 584898 724944 779864 1072313 1169796 1449888 1559728 2144626 2339592 3119456 3216939 4289252 4679184 6433878 8578504 9358368 12867756 17157008 25735512 34314016 51471024 102942048