Search a number
-
+
1825493964 = 2237431513347
BaseRepresentation
bin110110011001110…
…1101001111001100
311201012222200221120
41230303231033030
512214311301324
6501050400540
763144304560
oct15463551714
94635880846
101825493964
118574976a8
1242b430150
13231278058
141346316a0
15aa3e2179
hex6cced3cc

1825493964 has 96 divisors (see below), whose sum is σ = 5015678976. Its totient is φ = 505915200.

The previous prime is 1825493953. The next prime is 1825494019. The reversal of 1825493964 is 4693945281.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543739 + ... + 547085.

It is an arithmetic number, because the mean of its divisors is an integer number (52246656).

Almost surely, 21825493964 is an apocalyptic number.

1825493964 is a gapful number since it is divisible by the number (14) 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 1825493964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507839488).

1825493964 is an abundant number, since it is smaller than the sum of its proper divisors (3190185012).

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

1825493964 is a wasteful number, since it uses less digits than its factorization.

1825493964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3553 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 1825493964 is about 42725.7997467572. The cubic root of 1825493964 is about 1222.1564396049.

The spelling of 1825493964 in words is "one billion, eight hundred twenty-five million, four hundred ninety-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 151 172 258 301 302 453 516 602 604 903 906 1057 1204 1806 1812 2114 3171 3347 3612 4228 6342 6493 6694 10041 12684 12986 13388 19479 20082 23429 25972 38958 40164 45451 46858 70287 77916 90902 93716 136353 140574 143921 181804 272706 281148 287842 431763 505397 545412 575684 863526 1007447 1010794 1516191 1727052 2014894 2021588 3022341 3032382 3537779 4029788 6044682 6064764 7075558 10613337 12089364 14151116 21226674 21732071 42453348 43464142 65196213 86928284 130392426 152124497 260784852 304248994 456373491 608497988 912746982 1825493964