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2426402628 = 223513214771
BaseRepresentation
bin1001000010011111…
…1111011101000100
320021002201000200000
42100213333131010
514432124341003
61040434121300
7114062040066
oct22047773504
96232630600
102426402628
111035706231
12578720230
132c8901400
14190373736
15e303e1a3
hex909ff744

2426402628 has 108 divisors (see below), whose sum is σ = 6887947248. Its totient is φ = 746534880.

The previous prime is 2426402611. The next prime is 2426402633. The reversal of 2426402628 is 8262046242.

2426402628 is a `hidden beast` number, since 2 + 4 + 2 + 640 + 2 + 6 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2426402592 and 2426402601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156883 + ... + 171653.

Almost surely, 22426402628 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 2426402628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443973624).

2426402628 is an abundant number, since it is smaller than the sum of its proper divisors (4461544620).

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

2426402628 is a wasteful number, since it uses less digits than its factorization.

2426402628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14816 (or 14789 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2426402628 is about 49258.5284798480. The cubic root of 2426402628 is about 1343.7576691598.

The spelling of 2426402628 in words is "two billion, four hundred twenty-six million, four hundred two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 243 324 338 351 468 486 507 676 702 972 1014 1053 1404 1521 2028 2106 3042 3159 4212 4563 6084 6318 9126 12636 13689 14771 18252 27378 29542 41067 44313 54756 59084 82134 88626 132939 164268 177252 192023 265878 384046 398817 531756 576069 768092 797634 1152138 1196451 1595268 1728207 2304276 2392902 2496299 3456414 3589353 4785804 4992598 5184621 6912828 7178706 7488897 9985196 10369242 14357412 14977794 15553863 20738484 22466691 29955588 31107726 44933382 46661589 62215452 67400073 89866764 93323178 134800146 186646356 202200219 269600292 404400438 606600657 808800876 1213201314 2426402628