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10484192 = 254161131
BaseRepresentation
bin100111111111…
…100111100000
3201201122121102
4213333213200
510140443232
61012413532
7155054105
oct47774740
921648542
1010484192
115a10a24
1236172a8
132231084
14156caac
15dc1662
hex9ff9e0

10484192 has 48 divisors (see below), whose sum is σ = 21654864. Its totient is φ = 4992000.

The previous prime is 10484191. The next prime is 10484207. The reversal of 10484192 is 29148401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10484191) 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, 79967 + ... + 80097.

It is an arithmetic number, because the mean of its divisors is an integer number (451143).

Almost surely, 210484192 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 10484192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10827432).

10484192 is an abundant number, since it is smaller than the sum of its proper divisors (11170672).

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

10484192 is a wasteful number, since it uses less digits than its factorization.

10484192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 10484192 is about 3237.9302030773. The cubic root of 10484192 is about 218.8660106280.

It can be divided in two parts, 1048 and 4192, that multiplied together give a square (4393216 = 20962).

The spelling of 10484192 in words is "ten million, four hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 61 82 122 131 164 244 262 328 488 524 656 976 1048 1312 1952 2096 2501 4192 5002 5371 7991 10004 10742 15982 20008 21484 31964 40016 42968 63928 80032 85936 127856 171872 255712 327631 655262 1310524 2621048 5242096 10484192