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3873982240 = 255238110169
BaseRepresentation
bin1110011011101000…
…0100011100100000
3100222222120200120201
43212322010130200
530413214412430
61440224514544
7165000206602
oct34672043440
910888520521
103873982240
111708842217
1290147ba54
1349979b6ab
1428a70d172
1517a1818ca
hexe6e84720

3873982240 has 48 divisors (see below), whose sum is σ = 9157027320. Its totient is φ = 1548789760.

The previous prime is 3873982183. The next prime is 3873982267. The reversal of 3873982240 is 422893783.

It can be written as a sum of positive squares in 4 ways, for example, as 2716077456 + 1157904784 = 52116^2 + 34028^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 375876 + ... + 386044.

Almost surely, 23873982240 is an apocalyptic number.

It is an amenable number.

3873982240 is an abundant number, since it is smaller than the sum of its proper divisors (5283045080).

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

3873982240 is a wasteful number, since it uses less digits than its factorization.

3873982240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12565 (or 12557 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 3873982240 is about 62241.3226080552. The cubic root of 3873982240 is about 1570.5528013990.

The spelling of 3873982240 in words is "three billion, eight hundred seventy-three million, nine hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2381 4762 9524 10169 11905 19048 20338 23810 38096 40676 47620 50845 76192 81352 95240 101690 162704 190480 203380 325408 380960 406760 813520 1627040 24212389 48424778 96849556 121061945 193699112 242123890 387398224 484247780 774796448 968495560 1936991120 3873982240