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4288002948 = 223453673727
BaseRepresentation
bin1111111110010101…
…1011101110000100
3102001211122010020000
43333211123232010
532240212043243
61545254441300
7211155265215
oct37745335604
912054563200
104288002948
111900514099
129b8063230
135344ab968
142c96c340c
151a16b45d3
hexff95bb84

4288002948 has 120 divisors (see below), whose sum is σ = 11594765952. Its totient is φ = 1381064256.

The previous prime is 4288002941. The next prime is 4288002989. The reversal of 4288002948 is 8492008824.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4288002941) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1148661 + ... + 1152387.

Almost surely, 24288002948 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 4288002948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797382976).

4288002948 is an abundant number, since it is smaller than the sum of its proper divisors (7306763004).

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

4288002948 is a wasteful number, since it uses less digits than its factorization.

4288002948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4288002948 is about 65482.8446846959. The cubic root of 4288002948 is about 1624.6196124868.

The spelling of 4288002948 in words is "four billion, two hundred eighty-eight million, two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 67 81 106 108 134 159 162 201 212 268 318 324 402 477 603 636 804 954 1206 1431 1809 1908 2412 2862 3551 3618 3727 4293 5427 5724 7102 7236 7454 8586 10653 10854 11181 14204 14908 17172 21306 21708 22362 31959 33543 42612 44724 63918 67086 95877 100629 127836 134172 191754 197531 201258 249709 287631 301887 383508 395062 402516 499418 575262 592593 603774 749127 790124 998836 1150524 1185186 1207548 1498254 1777779 2247381 2370372 2996508 3555558 4494762 5333337 6742143 7111116 8989524 10666674 13234577 13484286 16000011 20226429 21333348 26469154 26968572 32000022 39703731 40452858 52938308 64000044 79407462 80905716 119111193 158814924 238222386 357333579 476444772 714667158 1072000737 1429334316 2144001474 4288002948