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3809006080 = 29511235881
BaseRepresentation
bin1110001100001000…
…1101001000000000
3100211110022120001021
43203002031020000
530300101143310
61425544115224
7163251005665
oct34302151000
910743276037
103809006080
1116850a2710
128a3765b14
1348919b769
14281c37a6c
151745e95da
hexe308d200

3809006080 has 160 divisors (see below), whose sum is σ = 10397870208. Its totient is φ = 1324646400.

The previous prime is 3809006063. The next prime is 3809006141. The reversal of 3809006080 is 806009083.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644740 + ... + 650620.

Almost surely, 23809006080 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 3809006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198935104).

3809006080 is an abundant number, since it is smaller than the sum of its proper divisors (6588864128).

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

3809006080 is a wasteful number, since it uses less digits than its factorization.

3809006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 3809006080 is about 61717.1457538341. The cubic root of 3809006080 is about 1561.7225767125.

The spelling of 3809006080 in words is "three billion, eight hundred nine million, six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 256 320 352 368 440 460 506 512 640 704 736 880 920 1012 1265 1280 1408 1472 1760 1840 2024 2530 2560 2816 2944 3520 3680 4048 5060 5632 5881 5888 7040 7360 8096 10120 11762 11776 14080 14720 16192 20240 23524 28160 29405 29440 32384 40480 47048 58810 58880 64691 64768 80960 94096 117620 129382 129536 135263 161920 188192 235240 258764 270526 323455 323840 376384 470480 517528 541052 646910 647680 676315 752768 940960 1035056 1082104 1293820 1352630 1487893 1505536 1881920 2070112 2164208 2587640 2705260 2975786 3011072 3763840 4140224 4328416 5175280 5410520 5951572 7439465 7527680 8280448 8656832 10350560 10821040 11903144 14878930 15055360 16560896 17313664 20701120 21642080 23806288 29757860 33121792 34627328 41402240 43284160 47612576 59515720 69254656 82804480 86568320 95225152 119031440 165608960 173136640 190450304 238062880 346273280 380900608 476125760 761801216 952251520 1904503040 3809006080