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4002052040 = 235767213329
BaseRepresentation
bin1110111010001010…
…0111011111001000
3101022220120022022122
43232202213133020
531144011131130
61501041510412
7201113611130
oct35642473710
911286508278
104002052040
111774065a28
12938342408
134ba18c73c
1429d729ac0
1518652d2e5
hexee8a77c8

4002052040 has 64 divisors (see below), whose sum is σ = 10444636800. Its totient is φ = 1351646208.

The previous prime is 4002052031. The next prime is 4002052051. The reversal of 4002052040 is 402502004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87905 + ... + 125424.

It is an arithmetic number, because the mean of its divisors is an integer number (163197450).

Almost surely, 24002052040 is an apocalyptic number.

4002052040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002052040 is an abundant number, since it is smaller than the sum of its proper divisors (6442584760).

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

4002052040 is a wasteful number, since it uses less digits than its factorization.

4002052040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213414 (or 213410 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4002052040 is about 63261.7739239108. The cubic root of 4002052040 is about 1587.6724564336.

Adding to 4002052040 its reverse (402502004), we get a palindrome (4404554044).

The spelling of 4002052040 in words is "four billion, two million, fifty-two thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1340 1876 2345 2680 3752 4690 9380 18760 213329 426658 853316 1066645 1493303 1706632 2133290 2986606 4266580 5973212 7466515 8533160 11946424 14293043 14933030 28586086 29866060 57172172 59732120 71465215 100051301 114344344 142930430 200102602 285860860 400205204 500256505 571721720 800410408 1000513010 2001026020 4002052040