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8482034376 = 2332296760631
BaseRepresentation
bin1111110011001000…
…11001001011001000
3210220010102222202100
413321210121023020
5114332400100001
63521355233400
7420123050124
oct77144311310
923803388670
108482034376
113662983a72
121788748860
13a52377a6a
145a6704584
153499b5586
hex1f99192c8

8482034376 has 96 divisors (see below), whose sum is σ = 24119409600. Its totient is φ = 2689061760.

The previous prime is 8482034371. The next prime is 8482034377. The reversal of 8482034376 is 6734302848.

8482034376 is a `hidden beast` number, since 8 + 4 + 8 + 203 + 437 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8482034371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109581 + ... + 170211.

It is an arithmetic number, because the mean of its divisors is an integer number (251243850).

Almost surely, 28482034376 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 8482034376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12059704800).

8482034376 is an abundant number, since it is smaller than the sum of its proper divisors (15637375224).

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

8482034376 is a wasteful number, since it uses less digits than its factorization.

8482034376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60739 (or 60732 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 8482034376 is about 92097.9607591829. The cubic root of 8482034376 is about 2039.3887038069.

The spelling of 8482034376 in words is "eight billion, four hundred eighty-two million, thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 67 72 87 116 134 174 201 232 261 268 348 402 522 536 603 696 804 1044 1206 1608 1943 2088 2412 3886 4824 5829 7772 11658 15544 17487 23316 34974 46632 60631 69948 121262 139896 181893 242524 363786 485048 545679 727572 1091358 1455144 1758299 2182716 3516598 4062277 4365432 5274897 7033196 8124554 10549794 12186831 14066392 15824691 16249108 21099588 24373662 31649382 32498216 36560493 42199176 48747324 63298764 73120986 97494648 117806033 126597528 146241972 235612066 292483944 353418099 471224132 706836198 942448264 1060254297 1413672396 2120508594 2827344792 4241017188 8482034376