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3896464 = 2411132131
BaseRepresentation
bin1110110111010010010000
321022221221111
432313102100
51444141324
6215303104
745055645
oct16672220
97287844
103896464
112221520
12137aa94
13a65700
14735dcc
1551e794
hex3b7490

3896464 has 60 divisors (see below), whose sum is σ = 8986032. Its totient is φ = 1622400.

The previous prime is 3896461. The next prime is 3896467. The reversal of 3896464 is 4646983.

3896464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3896461) and next prime (3896467).

It is not an unprimeable number, because it can be changed into a prime (3896461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29679 + ... + 29809.

Almost surely, 23896464 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 3896464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493016).

3896464 is an abundant number, since it is smaller than the sum of its proper divisors (5089568).

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

3896464 is a wasteful number, since it uses less digits than its factorization.

3896464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 3896464 is about 1973.9463011946. The cubic root of 3896464 is about 157.3585056599.

The spelling of 3896464 in words is "three million, eight hundred ninety-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 131 143 169 176 208 262 286 338 524 572 676 1048 1144 1352 1441 1703 1859 2096 2288 2704 2882 3406 3718 5764 6812 7436 11528 13624 14872 18733 22139 23056 27248 29744 37466 44278 74932 88556 149864 177112 243529 299728 354224 487058 974116 1948232 3896464