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102158848 = 291121797
BaseRepresentation
bin1100001011011…
…01001000000000
321010020012121001
412011231020000
5202123040343
614045341344
72350223131
oct605551000
9233205531
10102158848
1152736500
122a267854
131821b32c
14d7d3c88
158e7e44d
hex616d200

102158848 has 120 divisors (see below), whose sum is σ = 240008076. Its totient is φ = 43253760.

The previous prime is 102158827. The next prime is 102158863. The reversal of 102158848 is 848851201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100641024 + 1517824 = 10032^2 + 1232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1053136 + ... + 1053232.

Almost surely, 2102158848 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 102158848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120004038).

102158848 is an abundant number, since it is smaller than the sum of its proper divisors (137849228).

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

102158848 is an equidigital number, since it uses as much as digits as its factorization.

102158848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 102158848 is about 10107.3660268143. The cubic root of 102158848 is about 467.4752928119.

The spelling of 102158848 in words is "one hundred two million, one hundred fifty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 97 121 128 136 176 187 194 242 256 272 352 374 388 484 512 544 704 748 776 968 1067 1088 1408 1496 1552 1649 1936 2057 2134 2176 2816 2992 3104 3298 3872 4114 4268 4352 5632 5984 6208 6596 7744 8228 8536 8704 11737 11968 12416 13192 15488 16456 17072 18139 23474 23936 24832 26384 30976 32912 34144 36278 46948 47872 49664 52768 61952 65824 68288 72556 93896 95744 105536 131648 136576 145112 187792 199529 211072 263296 273152 290224 375584 399058 422144 526592 546304 580448 751168 798116 844288 1053184 1160896 1502336 1596232 2321792 3004672 3192464 4643584 6009344 6384928 9287168 12769856 25539712 51079424 102158848