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102050048 = 2817131179
BaseRepresentation
bin1100001010100…
…10100100000000
321010000200100102
412011102210000
5202111100143
614043141532
72346261002
oct605224400
9233020312
10102050048
1152671791
122a2148a8
13181b0959
14d7a6372
158e5c0b8
hex6152900

102050048 has 72 divisors (see below), whose sum is σ = 218544480. Its totient is φ = 47390720.

The previous prime is 102050029. The next prime is 102050071. The reversal of 102050048 is 840050201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570023 + ... + 570201.

It is an arithmetic number, because the mean of its divisors is an integer number (3035340).

Almost surely, 2102050048 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 102050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109272240).

102050048 is an abundant number, since it is smaller than the sum of its proper divisors (116494432).

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

102050048 is a wasteful number, since it uses less digits than its factorization.

102050048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 102050048 is about 10101.9823797114. The cubic root of 102050048 is about 467.3092788723.

The spelling of 102050048 in words is "one hundred two million, fifty thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 131 136 179 256 262 272 358 524 544 716 1048 1088 1432 2096 2176 2227 2864 3043 4192 4352 4454 5728 6086 8384 8908 11456 12172 16768 17816 22912 23449 24344 33536 35632 45824 46898 48688 71264 93796 97376 142528 187592 194752 285056 375184 389504 398633 570112 750368 779008 797266 1500736 1594532 3001472 3189064 6002944 6378128 12756256 25512512 51025024 102050048