Search a number
-
+
102048450 = 23527175717
BaseRepresentation
bin1100001010100…
…10001011000010
321010000121011020
412011102023002
5202111022300
614043130310
72346253230
oct605221302
9233017136
10102048450
1152670569
122a213996
13181accca
14d7a5950
158e5b8a0
hex61522c2

102048450 has 96 divisors (see below), whose sum is σ = 306301824. Its totient is φ = 21949440.

The previous prime is 102048439. The next prime is 102048473. The reversal of 102048450 is 54840201.

It is a super-2 number, since 2×1020484502 = 20827772294805000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102048450.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14992 + ... + 20708.

It is an arithmetic number, because the mean of its divisors is an integer number (3190644).

Almost surely, 2102048450 is an apocalyptic number.

102048450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102048450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153150912).

102048450 is an abundant number, since it is smaller than the sum of its proper divisors (204253374).

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

102048450 is a wasteful number, since it uses less digits than its factorization.

102048450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5756 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 102048450 is about 10101.9032860150. The cubic root of 102048450 is about 467.3068396635.

Adding to 102048450 its reverse (54840201), we get a palindrome (156888651).

The spelling of 102048450 in words is "one hundred two million, forty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 25 30 34 35 42 50 51 70 75 85 102 105 119 150 170 175 210 238 255 350 357 425 510 525 595 714 850 1050 1190 1275 1785 2550 2975 3570 5717 5950 8925 11434 17151 17850 28585 34302 40019 57170 80038 85755 97189 120057 142925 171510 194378 200095 240114 285850 291567 400190 428775 485945 583134 600285 680323 857550 971890 1000475 1200570 1360646 1457835 2000950 2040969 2429725 2915670 3001425 3401615 4081938 4859450 6002850 6803230 7289175 10204845 14578350 17008075 20409690 34016150 51024225 102048450