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89276000 = 2553112029
BaseRepresentation
bin1010101001000…
…11111001100000
320012222200122112
411110203321200
5140323313000
612505254452
72132555612
oct524437140
9205880575
1089276000
1146437420
1225a94428
131565a548
14bbdcdb2
157c87235
hex5523e60

89276000 has 96 divisors (see below), whose sum is σ = 239410080. Its totient is φ = 32448000.

The previous prime is 89275981. The next prime is 89276023. The reversal of 89276000 is 67298.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42986 + ... + 45014.

It is an arithmetic number, because the mean of its divisors is an integer number (2493855).

Almost surely, 289276000 is an apocalyptic number.

89276000 is a gapful number since it is divisible by the number (80) 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 89276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119705040).

89276000 is an abundant number, since it is smaller than the sum of its proper divisors (150134080).

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

89276000 is a wasteful number, since it uses less digits than its factorization.

89276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 89276000 is about 9448.5977795650. The cubic root of 89276000 is about 446.9355575096.

The spelling of 89276000 in words is "eighty-nine million, two hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2029 2200 2750 4000 4058 4400 5500 8116 8800 10145 11000 16232 20290 22000 22319 32464 40580 44000 44638 50725 64928 81160 89276 101450 111595 162320 178552 202900 223190 253625 324640 357104 405800 446380 507250 557975 714208 811600 892760 1014500 1115950 1623200 1785520 2029000 2231900 2789875 3571040 4058000 4463800 5579750 8116000 8927600 11159500 17855200 22319000 44638000 89276000