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3928085520 = 2435160110223
BaseRepresentation
bin1110101000100001…
…1101010000010000
3101010202101102022220
43222020131100100
531021042214040
61445440301040
7166225114242
oct35210352020
911122342286
103928085520
111736335877
12917611780
134a7a62678
14293994092
1517ecbc2d0
hexea21d410

3928085520 has 80 divisors (see below), whose sum is σ = 12185862912. Its totient is φ = 1046732800.

The previous prime is 3928085471. The next prime is 3928085537. The reversal of 3928085520 is 255808293.

It is a tau number, because it is divible by the number of its divisors (80).

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, 379129 + ... + 389351.

Almost surely, 23928085520 is an apocalyptic number.

3928085520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3928085520 is an abundant number, since it is smaller than the sum of its proper divisors (8257777392).

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

3928085520 is a wasteful number, since it uses less digits than its factorization.

3928085520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11840 (or 11834 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 3928085520 is about 62674.4407234720. The cubic root of 3928085520 is about 1577.8303714238.

The spelling of 3928085520 in words is "three billion, nine hundred twenty-eight million, eighty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1601 3202 4803 6404 8005 9606 10223 12808 16010 19212 20446 24015 25616 30669 32020 38424 40892 48030 51115 61338 64040 76848 81784 96060 102230 122676 128080 153345 163568 192120 204460 245352 306690 384240 408920 490704 613380 817840 1226760 2453520 16367023 32734046 49101069 65468092 81835115 98202138 130936184 163670230 196404276 245505345 261872368 327340460 392808552 491010690 654680920 785617104 982021380 1309361840 1964042760 3928085520