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3803985280 = 275171272753
BaseRepresentation
bin1110001010111100…
…0011010110000000
3100211002212110210201
43202233003112000
530242310012110
61425244334544
7163160225044
oct34257032600
910732773721
103803985280
111682283497
128a1b44454
13488131384
142812cc024
15173e56b3a
hexe2bc3580

3803985280 has 128 divisors (see below), whose sum is σ = 9708180480. Its totient is φ = 1420296192.

The previous prime is 3803985277. The next prime is 3803985287. The reversal of 3803985280 is 825893083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3803985280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3803985287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1380384 + ... + 1383136.

It is an arithmetic number, because the mean of its divisors is an integer number (75845160).

Almost surely, 23803985280 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 3803985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854090240).

3803985280 is an abundant number, since it is smaller than the sum of its proper divisors (5904195200).

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

3803985280 is a wasteful number, since it uses less digits than its factorization.

3803985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 3803985280 is about 61676.4564481456. The cubic root of 3803985280 is about 1561.0360857756.

The spelling of 3803985280 in words is "three billion, eight hundred three million, nine hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 127 128 136 160 170 254 272 320 340 508 544 635 640 680 1016 1088 1270 1360 2032 2159 2176 2540 2720 2753 4064 4318 5080 5440 5506 8128 8636 10160 10795 10880 11012 13765 16256 17272 20320 21590 22024 27530 34544 40640 43180 44048 46801 55060 69088 81280 86360 88096 93602 110120 138176 172720 176192 187204 220240 234005 276352 345440 349631 352384 374408 440480 468010 690880 699262 748816 880960 936020 1381760 1398524 1497632 1748155 1761920 1872040 2797048 2995264 3496310 3744080 5594096 5943727 5990528 6992620 7488160 11188192 11887454 13985240 14976320 22376384 23774908 27970480 29718635 29952640 44752768 47549816 55940960 59437270 95099632 111881920 118874540 190199264 223763840 237749080 380398528 475498160 760797056 950996320 1901992640 3803985280