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3860385424 = 24743172
BaseRepresentation
bin1110011000011000…
…1100111010010000
3100222000222220020221
43212012030322100
530401224313144
61435021242424
7164443510000
oct34606147220
910860886227
103860385424
1117010a5785
128b8a03414
13496a1a93c
142889b0000
15178d97d84
hexe618ce90

3860385424 has 75 divisors (see below), whose sum is σ = 8753172617. Its totient is φ = 1649231808.

The previous prime is 3860385407. The next prime is 3860385437. The reversal of 3860385424 is 4245830683.

The square root of 3860385424 is 62132.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 216090000 + 3644295424 = 14700^2 + 60368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12177714 + ... + 12178030.

Almost surely, 23860385424 is an apocalyptic number.

3860385424 is the 62132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3860385424

3860385424 is an abundant number, since it is smaller than the sum of its proper divisors (4892787193).

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

3860385424 is an frugal number, since it uses more digits than its factorization.

3860385424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The cubic root of 3860385424 is about 1568.7132172050.

The spelling of 3860385424 in words is "three billion, eight hundred sixty million, three hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 317 343 392 634 686 784 1268 1372 2219 2401 2536 2744 4438 4802 5072 5488 8876 9604 15533 17752 19208 31066 35504 38416 62132 100489 108731 124264 200978 217462 248528 401956 434924 703423 761117 803912 869848 1406846 1522234 1607824 1739696 2813692 3044468 4923961 5627384 6088936 9847922 11254768 12177872 19695844 34467727 39391688 68935454 78783376 137870908 241274089 275741816 482548178 551483632 965096356 1930192712 3860385424