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89504483929 = 727925412
BaseRepresentation
bin101001101011011100…
…0100000101001011001
322120000201110212212021
41103112320200221121
52431301121441204
6105041235414441
76316001363200
oct1232670405131
9276021425767
1089504483929
1134a5aa47583
121541aa54421
13859527a0c3
144491192237
1524dcaec154
hex14d6e20a59

89504483929 has 27 divisors (see below), whose sum is σ = 105647367231. Its totient is φ = 75607000560.

The previous prime is 89504483917. The next prime is 89504483941. The reversal of 89504483929 is 92938440598.

The square root of 89504483929 is 299173.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (89504483917) and next prime (89504483941).

It can be written as a sum of positive squares in only one way, i.e., 35559776329 + 53944707600 = 188573^2 + 232260^2 .

It is not a de Polignac number, because 89504483929 - 27 = 89504483801 is a prime.

It is a super-2 number, since 2×895044839292 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89504483129) 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 26 ways as a sum of consecutive naturals, for example, 165442399 + ... + 165442939.

It is an arithmetic number, because the mean of its divisors is an integer number (3912865453).

Almost surely, 289504483929 is an apocalyptic number.

89504483929 is the 299173-rd square number.

89504483929 is the 149587-th centered octagonal number.

It is an amenable number.

89504483929 is a deficient number, since it is larger than the sum of its proper divisors (16142883302).

89504483929 is an frugal number, since it uses more digits than its factorization.

89504483929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 89504483929 in words is "eighty-nine billion, five hundred four million, four hundred eighty-three thousand, nine hundred twenty-nine".

Divisors: 1 7 49 79 541 553 3787 3871 6241 26509 42739 43687 292681 299173 305809 2048767 2094211 3376381 14341369 23121799 23634667 161852593 165442669 1132968151 1826622121 12786354847 89504483929