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890537652 = 223911311
BaseRepresentation
bin110101000101001…
…000011010110100
32022001201000000000
4311011020122310
53310434201102
6224211151300
731032305454
oct6505103264
92261630000
10890537652
1141775a134
1220a2a5530
13112662774
14863b5d64
15532ad01c
hex351486b4

890537652 has 60 divisors (see below), whose sum is σ = 2337828416. Its totient is φ = 296819640.

The previous prime is 890537633. The next prime is 890537653. The reversal of 890537652 is 256735098.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 890537598 and 890537607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890537653) 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 19 ways as a sum of consecutive naturals, for example, 73077 + ... + 84387.

Almost surely, 2890537652 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 890537652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168914208).

890537652 is an abundant number, since it is smaller than the sum of its proper divisors (1447290764).

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

890537652 is an equidigital number, since it uses as much as digits as its factorization.

890537652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342 (or 11316 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 890537652 is about 29841.8774878525. The cubic root of 890537652 is about 962.0938283287.

The spelling of 890537652 in words is "eight hundred ninety million, five hundred thirty-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 11311 13122 19683 22622 26244 33933 39366 45244 67866 78732 101799 135732 203598 305397 407196 610794 916191 1221588 1832382 2748573 3664764 5497146 8245719 10994292 16491438 24737157 32982876 49474314 74211471 98948628 148422942 222634413 296845884 445268826 890537652