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84270528 = 2632236361
BaseRepresentation
bin1010000010111…
…01110111000000
312212120101102200
411001131313000
5133033124103
612210113200
72042200446
oct501356700
9185511380
1084270528
1143628771
122427b800
13145c7124
14b298b96
1575e90a3
hex505ddc0

84270528 has 84 divisors (see below), whose sum is σ = 252087888. Its totient is φ = 26864640.

The previous prime is 84270521. The next prime is 84270559. The reversal of 84270528 is 82507248.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84270492 and 84270501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84270521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10068 + ... + 16428.

Almost surely, 284270528 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 84270528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126043944).

84270528 is an abundant number, since it is smaller than the sum of its proper divisors (167817360).

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

84270528 is a wasteful number, since it uses less digits than its factorization.

84270528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 84270528 is about 9179.8980386494. The cubic root of 84270528 is about 438.4215619778.

The spelling of 84270528 in words is "eighty-four million, two hundred seventy thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6361 6624 12722 13248 19083 25444 38166 50888 57249 76332 101776 114498 146303 152664 203552 228996 292606 305328 407104 438909 457992 585212 610656 877818 915984 1170424 1221312 1316727 1755636 1831968 2340848 2633454 3511272 3663936 4681696 5266908 7022544 9363392 10533816 14045088 21067632 28090176 42135264 84270528