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982172814 = 237193139703
BaseRepresentation
bin111010100010101…
…100010010001110
32112110010112210220
4322202230102032
54002414012224
6241243212210
733224221410
oct7242542216
92473115726
10982172814
11464457a77
12234b17066
13128637a5c
149462a9b0
155b35e279
hex3a8ac48e

982172814 has 64 divisors (see below), whose sum is σ = 2439413760. Its totient is φ = 257268960.

The previous prime is 982172813. The next prime is 982172819. The reversal of 982172814 is 418271289.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982172813) 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, 4887 + ... + 44589.

It is an arithmetic number, because the mean of its divisors is an integer number (38115840).

Almost surely, 2982172814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982172814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219706880).

982172814 is an abundant number, since it is smaller than the sum of its proper divisors (1457240946).

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

982172814 is a wasteful number, since it uses less digits than its factorization.

982172814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39765.

The product of its digits is 64512, while the sum is 42.

The square root of 982172814 is about 31339.6364688552. The cubic root of 982172814 is about 994.0219386624.

The spelling of 982172814 in words is "nine hundred eighty-two million, one hundred seventy-two thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 798 1178 1302 1767 3534 4123 8246 12369 24738 39703 79406 119109 238218 277921 555842 754357 833763 1230793 1508714 1667526 2263071 2461586 3692379 4526142 5280499 7384758 8615551 10560998 15841497 17231102 23385067 25846653 31682994 46770134 51693306 70155201 140310402 163695469 327390938 491086407 982172814