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3799725280 = 255138772083
BaseRepresentation
bin1110001001111011…
…0011010011100000
3100210210212001011221
43202132303103200
530240212202110
61425013144424
7163106063161
oct34236632340
910723761157
103799725280
11167a93392a
128a062b114
1348729c370
142808dd768
151738b47da
hexe27b34e0

3799725280 has 96 divisors (see below), whose sum is σ = 9683047584. Its totient is φ = 1400702976.

The previous prime is 3799725221. The next prime is 3799725289. The reversal of 3799725280 is 825279973.

3799725280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3799725289) 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, 1823119 + ... + 1825201.

It is an arithmetic number, because the mean of its divisors is an integer number (100865079).

Almost surely, 23799725280 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 3799725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841523792).

3799725280 is an abundant number, since it is smaller than the sum of its proper divisors (5883322304).

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

3799725280 is a wasteful number, since it uses less digits than its factorization.

3799725280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The square root of 3799725280 is about 61641.9117159745. The cubic root of 3799725280 is about 1560.4531447122.

The spelling of 3799725280 in words is "three billion, seven hundred ninety-nine million, seven hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 877 1040 1754 2080 2083 3508 4166 4385 7016 8332 8770 10415 11401 14032 16664 17540 20830 22802 27079 28064 33328 35080 41660 45604 54158 57005 66656 70160 83320 91208 108316 114010 135395 140320 166640 182416 216632 228020 270790 333280 364832 433264 456040 541580 866528 912080 1083160 1824160 1826791 2166320 3653582 4332640 7307164 9133955 14614328 18267910 23748283 29228656 36535820 47496566 58457312 73071640 94993132 118741415 146143280 189986264 237482830 292286560 379972528 474965660 759945056 949931320 1899862640 3799725280