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84025458 = 233111753157
BaseRepresentation
bin1010000001000…
…10000001110010
312212002221021000
411000202001302
5133002303313
612200542430
72040130116
oct500420162
9185087230
1084025458
1143480630
1224181a16
131453c70a
14b233746
15759b673
hex5022072

84025458 has 128 divisors (see below), whose sum is σ = 221149440. Its totient is φ = 23362560.

The previous prime is 84025453. The next prime is 84025481. The reversal of 84025458 is 85452048.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84025451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535116 + ... + 535272.

It is an arithmetic number, because the mean of its divisors is an integer number (1727730).

Almost surely, 284025458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84025458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110574720).

84025458 is an abundant number, since it is smaller than the sum of its proper divisors (137123982).

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

84025458 is a wasteful number, since it uses less digits than its factorization.

84025458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 84025458 is about 9166.5401324600. The cubic root of 84025458 is about 437.9961530906.

The spelling of 84025458 in words is "eighty-four million, twenty-five thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 53 54 66 99 102 106 153 157 159 187 198 297 306 314 318 374 459 471 477 561 583 594 901 918 942 954 1122 1166 1413 1431 1683 1727 1749 1802 2669 2703 2826 2862 3366 3454 3498 4239 5049 5181 5247 5338 5406 8007 8109 8321 8478 9911 10098 10362 10494 15543 15741 16014 16218 16642 19822 24021 24327 24963 29359 29733 31086 31482 46629 48042 48654 49926 58718 59466 72063 74889 88077 89199 91531 93258 141457 144126 149778 176154 178398 183062 224667 264231 267597 274593 282914 424371 449334 528462 535194 549186 792693 823779 848742 1273113 1556027 1585386 1647558 2471337 2546226 3112054 3819339 4668081 4942674 7638678 9336162 14004243 28008486 42012729 84025458