Search a number
-
+
3878249472 = 21032715927
BaseRepresentation
bin1110011100101001…
…0110010000000000
3101000021121111010100
43213022112100000
530420312440342
61440500202400
7165051401526
oct34712262000
911007544110
103878249472
111710197259
12902999400
1349a633a96
1428b100316
1517a725e4c
hexe7296400

3878249472 has 132 divisors (see below), whose sum is σ = 11358000576. Its totient is φ = 1274327040.

The previous prime is 3878249449. The next prime is 3878249483. The reversal of 3878249472 is 2749428783.

It is a happy number.

3878249472 is a `hidden beast` number, since 3 + 8 + 7 + 82 + 494 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651373 + ... + 657299.

Almost surely, 23878249472 is an apocalyptic number.

3878249472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3878249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679000288).

3878249472 is an abundant number, since it is smaller than the sum of its proper divisors (7479751104).

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

3878249472 is a wasteful number, since it uses less digits than its factorization.

3878249472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6024 (or 6003 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 3878249472 is about 62275.5929076552. The cubic root of 3878249472 is about 1571.1292499145.

The spelling of 3878249472 in words is "three billion, eight hundred seventy-eight million, two hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 512 568 576 639 768 852 1024 1136 1152 1278 1536 1704 2272 2304 2556 3072 3408 4544 4608 5112 5927 6816 9088 9216 10224 11854 13632 17781 18176 20448 23708 27264 35562 36352 40896 47416 53343 54528 71124 72704 81792 94832 106686 109056 142248 163584 189664 213372 218112 284496 327168 379328 420817 426744 568992 654336 758656 841634 853488 1137984 1262451 1517312 1683268 1706976 2275968 2524902 3034624 3366536 3413952 3787353 4551936 5049804 6069248 6733072 6827904 7574706 9103872 10099608 13466144 13655808 15149412 18207744 20199216 26932288 27311616 30298824 40398432 53864576 54623232 60597648 80796864 107729152 121195296 161593728 215458304 242390592 323187456 430916608 484781184 646374912 969562368 1292749824 1939124736 3878249472