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426198976 = 26717107523
BaseRepresentation
bin11001011001110…
…100011111000000
31002200222011002021
4121121310133000
51333101331401
6110142531224
713363426420
oct3131643700
91080864067
10426198976
111a963a665
12ba896b14
136a3b5458
1440864480
152763b2a1
hex196747c0

426198976 has 112 divisors (see below), whose sum is σ = 1034954496. Its totient is φ = 169979904.

The previous prime is 426198973. The next prime is 426198979. The reversal of 426198976 is 679891624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (426198973) and next prime (426198979).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426198973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814651 + ... + 815173.

Almost surely, 2426198976 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 426198976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517477248).

426198976 is an abundant number, since it is smaller than the sum of its proper divisors (608755520).

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

426198976 is a wasteful number, since it uses less digits than its factorization.

426198976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 656 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 426198976 is about 20644.5870871761. The cubic root of 426198976 is about 752.5536514324.

The spelling of 426198976 in words is "four hundred twenty-six million, one hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 107 112 119 136 214 224 238 272 428 448 476 523 544 749 856 952 1046 1088 1498 1712 1819 1904 2092 2996 3424 3638 3661 3808 4184 5992 6848 7276 7322 7616 8368 8891 11984 12733 14552 14644 16736 17782 23968 25466 29104 29288 33472 35564 47936 50932 55961 58208 58576 62237 71128 101864 111922 116416 117152 124474 142256 203728 223844 234304 248948 284512 391727 407456 447688 497896 569024 783454 814912 895376 951337 995792 1566908 1790752 1902674 1991584 3133816 3581504 3805348 3983168 6267632 6659359 7610696 12535264 13318718 15221392 25070528 26637436 30442784 53274872 60885568 106549744 213099488 426198976