Search a number
-
+
100050656 = 2519792083
BaseRepresentation
bin1011111011010…
…10011011100000
320222021002200212
411331222123200
5201103110111
613532233252
72323262606
oct575523340
9228232625
10100050656
11515265a2
122960b828
1317960894
14d405876
158bb498b
hex5f6a6e0

100050656 has 48 divisors (see below), whose sum is σ = 210067200. Its totient is φ = 46770048.

The previous prime is 100050649. The next prime is 100050659. The reversal of 100050656 is 656050001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100050659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46991 + ... + 49073.

It is an arithmetic number, because the mean of its divisors is an integer number (4376400).

Almost surely, 2100050656 is an apocalyptic number.

100050656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100050656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105033600).

100050656 is an abundant number, since it is smaller than the sum of its proper divisors (110016544).

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

100050656 is a wasteful number, since it uses less digits than its factorization.

100050656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 100050656 is about 10002.5324793274. The cubic root of 100050656 is about 464.2372449058.

The spelling of 100050656 in words is "one hundred million, fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 79 152 158 304 316 608 632 1264 1501 2083 2528 3002 4166 6004 8332 12008 16664 24016 33328 39577 48032 66656 79154 158308 164557 316616 329114 633232 658228 1266464 1316456 2632912 3126583 5265824 6253166 12506332 25012664 50025328 100050656