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4288290048 = 28327265891
BaseRepresentation
bin1111111110011010…
…0001110100000000
3102001212011201001100
43333212201310000
532240300240143
61545304534400
7211160602230
oct37746416400
912055151040
104288290048
11190069a869
129b8181400
1353457c543
142c9759cc0
151a171e6d3
hexff9a1d00

4288290048 has 108 divisors (see below), whose sum is σ = 14130564448. Its totient is φ = 1225221120.

The previous prime is 4288290031. The next prime is 4288290067. The reversal of 4288290048 is 8400928824.

It is a happy number.

4288290048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4288289985 and 4288290012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116818 + ... + 149073.

Almost surely, 24288290048 is an apocalyptic number.

4288290048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4288290048 is an abundant number, since it is smaller than the sum of its proper divisors (9842274400).

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

4288290048 is a wasteful number, since it uses less digits than its factorization.

4288290048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265920 (or 265903 counting only the distinct ones).

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

The square root of 4288290048 is about 65485.0368252168. The cubic root of 4288290048 is about 1624.6558700708.

The spelling of 4288290048 in words is "four billion, two hundred eighty-eight million, two hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 265891 531782 797673 1063564 1595346 1861237 2127128 2393019 3190692 3722474 4254256 4786038 5583711 6381384 7444948 8508512 9572076 11167422 12762768 14889896 16751133 17017024 19144152 22334844 25525536 29779792 33502266 34034048 38288304 44669688 51051072 59559584 67004532 68068096 76576608 89339376 102102144 119119168 134009064 153153216 178678752 204204288 238238336 268018128 306306432 357357504 476476672 536036256 612612864 714715008 1072072512 1429430016 2144145024 4288290048