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89941400 = 23521273541
BaseRepresentation
bin1010101110001…
…10010110011000
320021020111101222
411113012112120
5141011111100
612531431212
72141326553
oct527062630
9207214358
1089941400
114685133a
1226155508
1315831383
14bd3369a
157d69485
hex55c6598

89941400 has 48 divisors (see below), whose sum is σ = 210819840. Its totient is φ = 35683200.

The previous prime is 89941399. The next prime is 89941457. The reversal of 89941400 is 414998.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23630 + ... + 27170.

It is an arithmetic number, because the mean of its divisors is an integer number (4392080).

Almost surely, 289941400 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 89941400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105409920).

89941400 is an abundant number, since it is smaller than the sum of its proper divisors (120878440).

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

89941400 is a wasteful number, since it uses less digits than its factorization.

89941400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 89941400 is about 9483.7439864222. The cubic root of 89941400 is about 448.0431904576.

The spelling of 89941400 in words is "eighty-nine million, nine hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 508 635 1016 1270 2540 3175 3541 5080 6350 7082 12700 14164 17705 25400 28328 35410 70820 88525 141640 177050 354100 449707 708200 899414 1798828 2248535 3597656 4497070 8994140 11242675 17988280 22485350 44970700 89941400