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2429233856 = 2679755901
BaseRepresentation
bin1001000011001011…
…0010101011000000
320021022000212101022
42100302302223000
514433340440411
61041014525012
7114125101310
oct22062625300
96238025338
102429233856
11103726a395
12579666768
132c9382caa
141908ad440
15e33ecedb
hex90cb2ac0

2429233856 has 56 divisors (see below), whose sum is σ = 5566050336. Its totient is φ = 1030348800.

The previous prime is 2429233837. The next prime is 2429233861. The reversal of 2429233856 is 6583329242.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15506 + ... + 71406.

It is an arithmetic number, because the mean of its divisors is an integer number (99393756).

Almost surely, 22429233856 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 2429233856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783025168).

2429233856 is an abundant number, since it is smaller than the sum of its proper divisors (3136816480).

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

2429233856 is an equidigital number, since it uses as much as digits as its factorization.

2429233856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56017 (or 56007 counting only the distinct ones).

The product of its digits is 622080, while the sum is 44.

The square root of 2429233856 is about 49287.2585563450. The cubic root of 2429233856 is about 1344.2801168785.

The spelling of 2429233856 in words is "two billion, four hundred twenty-nine million, two hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 388 448 679 776 1358 1552 2716 3104 5432 6208 10864 21728 43456 55901 111802 223604 391307 447208 782614 894416 1565228 1788832 3130456 3577664 5422397 6260912 10844794 12521824 21689588 25043648 37956779 43379176 75913558 86758352 151827116 173516704 303654232 347033408 607308464 1214616928 2429233856