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426276096 = 28319131223
BaseRepresentation
bin11001011010000…
…111010100000000
31002201010001212120
4121122013110000
51333111313341
6110144324240
713364200311
oct3132072400
91081101776
10426276096
111a96925a4
12ba913680
136a41159c
1440884608
1527654066
hex19687500

426276096 has 144 divisors (see below), whose sum is σ = 1208739840. Its totient is φ = 132986880.

The previous prime is 426276047. The next prime is 426276101. The reversal of 426276096 is 690672624.

It is a happy number.

It is a super-2 number, since 2×4262760962 = 363422620042002432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1911441 + ... + 1911663.

Almost surely, 2426276096 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 426276096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604369920).

426276096 is an abundant number, since it is smaller than the sum of its proper divisors (782463744).

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

426276096 is a wasteful number, since it uses less digits than its factorization.

426276096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 426276096 is about 20646.4548046390. The cubic root of 426276096 is about 752.5990398078.

The spelling of 426276096 in words is "four hundred twenty-six million, two hundred seventy-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 131 152 192 223 228 256 262 304 384 393 446 456 524 608 669 768 786 892 912 1048 1216 1338 1572 1784 1824 2096 2432 2489 2676 3144 3568 3648 4192 4237 4864 4978 5352 6288 7136 7296 7467 8384 8474 9956 10704 12576 12711 14272 14592 14934 16768 16948 19912 21408 25152 25422 28544 29213 29868 33536 33896 39824 42816 50304 50844 57088 58426 59736 67792 79648 85632 87639 100608 101688 116852 119472 135584 159296 171264 175278 203376 233704 238944 271168 318592 350556 406752 467408 477888 542336 555047 637184 701112 813504 934816 955776 1084672 1110094 1402224 1627008 1665141 1869632 1911552 2220188 2804448 3254016 3330282 3739264 4440376 5608896 6660564 7478528 8880752 11217792 13321128 17761504 22435584 26642256 35523008 53284512 71046016 106569024 142092032 213138048 426276096