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4284263452 = 227323137991
BaseRepresentation
bin1111111101011100…
…1010110000011100
3102001120121010121011
43333113022300130
532233232412302
61545042345004
7211111432000
oct37727126034
912046533534
104284263452
1118a939a5a7
129b695b164
1353379c841
142c8dcc700
151a11c65d7
hexff5cac1c

4284263452 has 96 divisors (see below), whose sum is σ = 9199411200. Its totient is φ = 1741703040.

The previous prime is 4284263443. The next prime is 4284263491. The reversal of 4284263452 is 2543624824.

It is a super-2 number, since 2×42842634522 = 36709826652285912608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4322677 + ... + 4323667.

It is an arithmetic number, because the mean of its divisors is an integer number (95827200).

Almost surely, 24284263452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4284263452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599705600).

4284263452 is an abundant number, since it is smaller than the sum of its proper divisors (4915147748).

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

4284263452 is a wasteful number, since it uses less digits than its factorization.

4284263452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1160 counting only the distinct ones).

The product of its digits is 368640, while the sum is 40.

The square root of 4284263452 is about 65454.2852073109. The cubic root of 4284263452 is about 1624.1472072268.

The spelling of 4284263452 in words is "four billion, two hundred eighty-four million, two hundred sixty-three thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 137 161 196 274 322 343 548 644 686 959 991 1127 1372 1918 1982 2254 3151 3836 3964 4508 6302 6713 6937 7889 12604 13426 13874 15778 22057 22793 26852 27748 31556 44114 45586 46991 48559 88228 91172 93982 97118 135767 154399 159551 187964 194236 271534 308798 319102 339913 543068 617596 638204 679826 950369 1080793 1116857 1359652 1900738 2161586 2233714 3122641 3801476 4323172 4467428 6245282 6652583 7817999 12490564 13305166 15635998 21858487 26610332 31271996 43716974 46568081 87433948 93136162 153009409 186272324 306018818 612037636 1071065863 2142131726 4284263452