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3805030880 = 25571491512
BaseRepresentation
bin1110001011001100…
…0010100111100000
3100211011211121002122
43202303002213200
530243041442010
61425323003412
7163202141330
oct34263024740
910734747078
103805030880
111682928022
128a2369568
13488409281
142814c10c0
151740b1855
hexe2cc29e0

3805030880 has 144 divisors (see below), whose sum is σ = 10411480800. Its totient is φ = 1287244800.

The previous prime is 3805030849. The next prime is 3805030883. The reversal of 3805030880 is 880305083.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3805030880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3805030883) 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, 25198805 + ... + 25198955.

It is an arithmetic number, because the mean of its divisors is an integer number (72301950).

Almost surely, 23805030880 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 3805030880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205740400).

3805030880 is an abundant number, since it is smaller than the sum of its proper divisors (6606449920).

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

3805030880 is a wasteful number, since it uses less digits than its factorization.

3805030880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 3805030880 is about 61684.9323579105. The cubic root of 3805030880 is about 1561.1790998065.

The spelling of 3805030880 in words is "three billion, eight hundred five million, thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 149 151 160 224 280 298 302 560 596 604 745 755 1043 1057 1120 1192 1208 1490 1510 2086 2114 2384 2416 2980 3020 4172 4228 4768 4832 5215 5285 5960 6040 8344 8456 10430 10570 11920 12080 16688 16912 20860 21140 22499 22801 23840 24160 33376 33824 41720 42280 44998 45602 83440 84560 89996 91204 112495 114005 157493 159607 166880 169120 179992 182408 224990 228010 314986 319214 359984 364816 449980 456020 629972 638428 719968 729632 787465 798035 899960 912040 1259944 1276856 1574930 1596070 1799920 1824080 2519888 2553712 3149860 3192140 3397349 3599840 3648160 5039776 5107424 6299720 6384280 6794698 12599440 12768560 13589396 16986745 23781443 25198880 25537120 27178792 33973490 47562886 54357584 67946980 95125772 108715168 118907215 135893960 190251544 237814430 271787920 380503088 475628860 543575840 761006176 951257720 1902515440 3805030880