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4285535296 = 26741672
BaseRepresentation
bin1111111101110000…
…0001010001000000
3102001122222202020111
43333130001101000
532234044112141
61545125521104
7211125310000
oct37734012100
912048882214
104285535296
1118aa089109
129b7273194
13533b26703
142c9240000
151a1378381
hexff701440

4285535296 has 105 divisors (see below), whose sum is σ = 9980632439. Its totient is φ = 1825660032.

The previous prime is 4285535279. The next prime is 4285535311. The reversal of 4285535296 is 6925355824.

The square root of 4285535296 is 65464.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25661805 + ... + 25661971.

Almost surely, 24285535296 is an apocalyptic number.

4285535296 is the 65464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4285535296

4285535296 is an abundant number, since it is smaller than the sum of its proper divisors (5695097143).

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

4285535296 is an frugal number, since it uses more digits than its factorization.

4285535296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 176 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 49.

The cubic root of 4285535296 is about 1624.3079083236.

Multiplying 4285535296 by its sum of digits (49), we get a square (209991229504 = 4582482).

4285535296 divided by its sum of digits (49) gives a square (87459904 = 93522).

The spelling of 4285535296 in words is "four billion, two hundred eighty-five million, five hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 167 196 224 334 343 392 448 668 686 784 1169 1336 1372 1568 2338 2401 2672 2744 3136 4676 4802 5344 5488 8183 9352 9604 10688 10976 16366 18704 19208 21952 27889 32732 37408 38416 55778 57281 65464 74816 76832 111556 114562 130928 153664 195223 223112 229124 261856 390446 400967 446224 458248 523712 780892 801934 892448 916496 1366561 1561784 1603868 1784896 1832992 2733122 3123568 3207736 3665984 5466244 6247136 6415472 9565927 10932488 12494272 12830944 19131854 21864976 25661888 38263708 43729952 66961489 76527416 87459904 133922978 153054832 267845956 306109664 535691912 612219328 1071383824 2142767648 4285535296