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4195136 = 261159101
BaseRepresentation
bin10000000000001101000000
321220010122102
4100000031000
52033221021
6225525532
750441501
oct20001500
97803572
104195136
112405960
1214a38a8
13b3b63a
147b2ba8
1557d00b
hex400340

4195136 has 56 divisors (see below), whose sum is σ = 9326880. Its totient is φ = 1856000.

The previous prime is 4195129. The next prime is 4195157. The reversal of 4195136 is 6315914.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4195099 and 4195108.

It is a congruent number.

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, 41486 + ... + 41586.

Almost surely, 24195136 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 4195136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663440).

4195136 is an abundant number, since it is smaller than the sum of its proper divisors (5131744).

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

4195136 is a wasteful number, since it uses less digits than its factorization.

4195136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its digits is 3240, while the sum is 29.

The square root of 4195136 is about 2048.2031149278. The cubic root of 4195136 is about 161.2805570758.

It can be divided in two parts, 419 and 5136, that added together give a palindrome (5555).

The spelling of 4195136 in words is "four million, one hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 101 118 176 202 236 352 404 472 649 704 808 944 1111 1298 1616 1888 2222 2596 3232 3776 4444 5192 5959 6464 8888 10384 11918 17776 20768 23836 35552 41536 47672 65549 71104 95344 131098 190688 262196 381376 524392 1048784 2097568 4195136