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2535890644 = 227312731291
BaseRepresentation
bin1001011100100110…
…1001111011010100
320112201201120222201
42113021221323110
520143142000034
61055344534244
7116561500120
oct22711517324
96481646881
102535890644
1110914981a1
125a9321384
133154b7711
141a0b14580
15ec96a014
hex97269ed4

2535890644 has 72 divisors (see below), whose sum is σ = 5316569664. Its totient is φ = 1036540800.

The previous prime is 2535890641. The next prime is 2535890653. The reversal of 2535890644 is 4460985352.

It is a junction number, because it is equal to n+sod(n) for n = 2535890594 and 2535890603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535890641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1963639 + ... + 1964929.

Almost surely, 22535890644 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 2535890644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658284832).

2535890644 is an abundant number, since it is smaller than the sum of its proper divisors (2780679020).

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

2535890644 is a wasteful number, since it uses less digits than its factorization.

2535890644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The square root of 2535890644 is about 50357.6274659559. The cubic root of 2535890644 is about 1363.6727865240.

The spelling of 2535890644 in words is "two billion, five hundred thirty-five million, eight hundred ninety thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 31 62 73 124 146 217 292 434 511 868 961 1022 1291 1922 2044 2263 2582 3844 4526 5164 6727 9037 9052 13454 15841 18074 26908 31682 36148 40021 63364 70153 80042 94243 140306 160084 188486 280147 280612 376972 491071 560294 659701 982142 1120588 1240651 1319402 1964284 2481302 2638804 2921533 4962604 5843066 8684557 11686132 17369114 20450731 34738228 40901462 81802924 90567523 181135046 362270092 633972661 1267945322 2535890644