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84253752 = 233211219509
BaseRepresentation
bin1010000010110…
…01110000111000
312212112112102100
411001121300320
5133032110002
612205503400
72042100522
oct501316070
9185475370
1084253752
1143617100
1224271b60
13145bc5bb
14b292a12
1575e411c
hex5059c38

84253752 has 144 divisors (see below), whose sum is σ = 264537000. Its totient is φ = 24140160.

The previous prime is 84253747. The next prime is 84253781. The reversal of 84253752 is 25735248.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165274 + ... + 165782.

Almost surely, 284253752 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 84253752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132268500).

84253752 is an abundant number, since it is smaller than the sum of its proper divisors (180283248).

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

84253752 is a wasteful number, since it uses less digits than its factorization.

84253752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 544 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 84253752 is about 9178.9842575309. The cubic root of 84253752 is about 438.3924673924.

The spelling of 84253752 in words is "eighty-four million, two hundred fifty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 121 132 152 171 198 209 228 242 264 342 363 396 418 456 484 509 627 684 726 792 836 968 1018 1089 1254 1368 1452 1527 1672 1881 2036 2178 2299 2508 2904 3054 3762 4072 4356 4581 4598 5016 5599 6108 6897 7524 8712 9162 9196 9671 11198 12216 13794 15048 16797 18324 18392 19342 20691 22396 27588 29013 33594 36648 38684 41382 44792 50391 55176 58026 61589 67188 77368 82764 87039 100782 106381 116052 123178 134376 165528 174078 184767 201564 212762 232104 246356 319143 348156 369534 403128 425524 492712 554301 638286 696312 739068 851048 957429 1108602 1170191 1276572 1478136 1914858 2217204 2340382 2553144 3510573 3829716 4434408 4680764 7021146 7659432 9361528 10531719 14042292 21063438 28084584 42126876 84253752