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84472272 = 243231127149
BaseRepresentation
bin1010000100011…
…11000111010000
312212221122011200
411002033013100
5133111103042
612214311200
72044000563
oct502170720
9185848150
1084472272
11437562a5
1224358500
1314667bc1
14b30c4da
157638c4c
hex508f1d0

84472272 has 120 divisors (see below), whose sum is σ = 247603200. Its totient is φ = 26853120.

The previous prime is 84472249. The next prime is 84472277. The reversal of 84472272 is 27227448.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84472277) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 566854 + ... + 567002.

It is an arithmetic number, because the mean of its divisors is an integer number (2063360).

Almost surely, 284472272 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 84472272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123801600).

84472272 is an abundant number, since it is smaller than the sum of its proper divisors (163130928).

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

84472272 is a wasteful number, since it uses less digits than its factorization.

84472272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 84472272 is about 9190.8798273071. The cubic root of 84472272 is about 438.7711441827.

The spelling of 84472272 in words is "eighty-four million, four hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 127 144 149 186 248 254 279 298 372 381 447 496 508 558 596 744 762 894 1016 1116 1143 1192 1341 1488 1524 1788 2032 2232 2286 2384 2682 3048 3576 3937 4464 4572 4619 5364 6096 7152 7874 9144 9238 10728 11811 13857 15748 18288 18476 18923 21456 23622 27714 31496 35433 36952 37846 41571 47244 55428 56769 62992 70866 73904 75692 83142 94488 110856 113538 141732 151384 166284 170307 188976 221712 227076 283464 302768 332568 340614 454152 566928 586613 665136 681228 908304 1173226 1362456 1759839 2346452 2724912 3519678 4692904 5279517 7039356 9385808 10559034 14078712 21118068 28157424 42236136 84472272