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84722064 = 24371923577
BaseRepresentation
bin1010000110011…
…00000110010000
312220102022211020
411003030012100
5133142101224
612223515440
72046061050
oct503140620
9186368736
1084722064
1143906a39
1224458b80
13147247cb
14b375560
157687c79
hex50cc190

84722064 has 160 divisors (see below), whose sum is σ = 275220480. Its totient is φ = 21897216.

The previous prime is 84722063. The next prime is 84722093. The reversal of 84722064 is 46022748.

It is not an unprimeable number, because it can be changed into a prime (84722063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146544 + ... + 147120.

It is an arithmetic number, because the mean of its divisors is an integer number (1720128).

Almost surely, 284722064 is an apocalyptic number.

84722064 is a gapful number since it is divisible by the number (84) 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 84722064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137610240).

84722064 is an abundant number, since it is smaller than the sum of its proper divisors (190498416).

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

84722064 is a wasteful number, since it uses less digits than its factorization.

84722064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 84722064 is about 9204.4589194585. The cubic root of 84722064 is about 439.2032136354.

The spelling of 84722064 in words is "eighty-four million, seven hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 23 24 28 38 42 46 48 56 57 69 76 84 92 112 114 133 138 152 161 168 184 228 266 276 304 322 336 368 399 437 456 483 532 552 577 644 798 874 912 966 1064 1104 1154 1288 1311 1596 1731 1748 1932 2128 2308 2576 2622 3059 3192 3462 3496 3864 4039 4616 5244 6118 6384 6924 6992 7728 8078 9177 9232 10488 10963 12117 12236 13271 13848 16156 18354 20976 21926 24234 24472 26542 27696 32312 32889 36708 39813 43852 48468 48944 53084 64624 65778 73416 76741 79626 87704 92897 96936 106168 131556 146832 153482 159252 175408 185794 193872 212336 230223 252149 263112 278691 306964 318504 371588 460446 504298 526224 557382 613928 637008 743176 756447 920892 1008596 1114764 1227856 1486352 1512894 1765043 1841784 2017192 2229528 3025788 3530086 3683568 4034384 4459056 5295129 6051576 7060172 10590258 12103152 14120344 21180516 28240688 42361032 84722064