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3887480832 = 2143139569
BaseRepresentation
bin1110011110110110…
…0100000000000000
3101000220222111011120
43213231210000000
530430143341312
61441430112240
7165223020234
oct34755440000
911026874146
103887480832
111715421984
12905aab680
1349c516821
1428c4245c4
1517b44b28c
hexe7b64000

3887480832 has 120 divisors (see below), whose sum is σ = 10459226400. Its totient is φ = 1284243456.

The previous prime is 3887480803. The next prime is 3887480869. The reversal of 3887480832 is 2380847883.

It is a super-2 number, since 2×38874808322 = 30225014438334824448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6831844 + ... + 6832412.

It is an arithmetic number, because the mean of its divisors is an integer number (87160220).

Almost surely, 23887480832 is an apocalyptic number.

3887480832 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 3887480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229613200).

3887480832 is an abundant number, since it is smaller than the sum of its proper divisors (6571745568).

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

3887480832 is an equidigital number, since it uses as much as digits as its factorization.

3887480832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 3887480832 is about 62349.6658531543. The cubic root of 3887480832 is about 1572.3748434372.

The spelling of 3887480832 in words is "three billion, eight hundred eighty-seven million, four hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 512 556 569 768 834 1024 1112 1138 1536 1668 1707 2048 2224 2276 3072 3336 3414 4096 4448 4552 6144 6672 6828 8192 8896 9104 12288 13344 13656 16384 17792 18208 24576 26688 27312 35584 36416 49152 53376 54624 71168 72832 79091 106752 109248 142336 145664 158182 213504 218496 237273 284672 291328 316364 427008 436992 474546 569344 582656 632728 854016 873984 949092 1138688 1165312 1265456 1708032 1747968 1898184 2277376 2330624 2530912 3416064 3495936 3796368 4661248 5061824 6832128 6991872 7592736 9322496 10123648 13983744 15185472 20247296 27967488 30370944 40494592 60741888 80989184 121483776 161978368 242967552 323956736 485935104 647913472 971870208 1295826944 1943740416 3887480832