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3886349490 = 2335191315783
BaseRepresentation
bin1110011110100100…
…1111110010110010
3101000211212000021000
43213221033302302
530424401140430
61441345542430
7165210265662
oct34751176262
911024760230
103886349490
111714819991
12905644a16
1349c20b8aa
1428c20c1a2
1517b2c5e60
hexe7a4fcb2

3886349490 has 128 divisors (see below), whose sum is σ = 10994227200. Its totient is φ = 974151360.

The previous prime is 3886349473. The next prime is 3886349527. The reversal of 3886349490 is 949436883.

It is a happy number.

3886349490 is a `hidden beast` number, since 3 + 8 + 8 + 63 + 494 + 90 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669139 + ... + 674921.

It is an arithmetic number, because the mean of its divisors is an integer number (85892400).

Almost surely, 23886349490 is an apocalyptic number.

3886349490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3886349490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497113600).

3886349490 is an abundant number, since it is smaller than the sum of its proper divisors (7107877710).

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

3886349490 is a wasteful number, since it uses less digits than its factorization.

3886349490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3886349490 is about 62340.5926343342. The cubic root of 3886349490 is about 1572.2222968078. Note that the first 4 decimals are identical.

The spelling of 3886349490 in words is "three billion, eight hundred eighty-six million, three hundred forty-nine thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 131 135 171 190 262 270 285 342 393 513 570 655 786 855 1026 1179 1310 1710 1965 2358 2489 2565 3537 3930 4978 5130 5783 5895 7074 7467 11566 11790 12445 14934 17349 17685 22401 24890 28915 34698 35370 37335 44802 52047 57830 67203 74670 86745 104094 109877 112005 134406 156141 173490 219754 224010 260235 312282 329631 336015 520470 549385 659262 672030 757573 780705 988893 1098770 1515146 1561410 1648155 1977786 2272719 2966679 3296310 3787865 4545438 4944465 5933358 6818157 7575730 9888930 11363595 13636314 14393887 14833395 20454471 22727190 28787774 29666790 34090785 40908942 43181661 68181570 71969435 86363322 102272355 129544983 143938870 204544710 215908305 259089966 388634949 431816610 647724915 777269898 1295449830 1943174745 3886349490