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1964248 = 23111317101
BaseRepresentation
bin111011111100011011000
310200210102221
413133203120
51000323443
6110033424
722460446
oct7374330
93623387
101964248
111121850
127a8874
1353a0a0
14391b96
1528beed
hex1df8d8

1964248 has 64 divisors (see below), whose sum is σ = 4626720. Its totient is φ = 768000.

The previous prime is 1964243. The next prime is 1964297. The reversal of 1964248 is 8424691.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an Ulam number.

Its product of digits (13824) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1964243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19398 + ... + 19498.

21964248 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 1964248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313360).

1964248 is an abundant number, since it is smaller than the sum of its proper divisors (2662472).

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

1964248 is a wasteful number, since it uses less digits than its factorization.

1964248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 1964248 is about 1401.5163217030. The cubic root of 1964248 is about 125.2368416316.

It can be divided in two parts, 196 and 4248, that added together give a palindrome (4444).

The spelling of 1964248 in words is "one million, nine hundred sixty-four thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 101 104 136 143 187 202 221 286 374 404 442 572 748 808 884 1111 1144 1313 1496 1717 1768 2222 2431 2626 3434 4444 4862 5252 6868 8888 9724 10504 13736 14443 18887 19448 22321 28886 37774 44642 57772 75548 89284 115544 151096 178568 245531 491062 982124 1964248