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84281472 = 273411739
BaseRepresentation
bin1010000011000…
…00100010000000
312212120221110000
411001200202000
5133034001342
612210240000
72042244402
oct501404200
9185527400
1084281472
1143635a10
1224286000
13145cc0c2
14b29cb72
1575ec44c
hex5060880

84281472 has 160 divisors (see below), whose sum is σ = 273992400. Its totient is φ = 25505280.

The previous prime is 84281429. The next prime is 84281479. The reversal of 84281472 is 27418248.

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

It is not an unprimeable number, because it can be changed into a prime (84281479) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113679 + ... + 114417.

Almost surely, 284281472 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 84281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136996200).

84281472 is an abundant number, since it is smaller than the sum of its proper divisors (189710928).

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

84281472 is a wasteful number, since it uses less digits than its factorization.

84281472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 755 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 84281472 is about 9180.4941043497. The cubic root of 84281472 is about 438.4405400555.

The spelling of 84281472 in words is "eighty-four million, two hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 739 792 864 891 1056 1152 1188 1296 1408 1478 1584 1728 1782 2112 2217 2376 2592 2956 3168 3456 3564 4224 4434 4752 5184 5912 6336 6651 7128 8129 8868 9504 10368 11824 12672 13302 14256 16258 17736 19008 19953 23648 24387 26604 28512 32516 35472 38016 39906 47296 48774 53208 57024 59859 65032 70944 73161 79812 94592 97548 106416 114048 119718 130064 141888 146322 159624 195096 212832 219483 239436 260128 283776 292644 319248 390192 425664 438966 478872 520256 585288 638496 658449 780384 851328 877932 957744 1040512 1170576 1276992 1316898 1560768 1755864 1915488 2341152 2553984 2633796 3121536 3511728 3830976 4682304 5267592 7023456 7661952 9364608 10535184 14046912 21070368 28093824 42140736 84281472