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426498048 = 21135857
BaseRepresentation
bin11001011010111…
…101100000000000
31002201112100100000
4121122331200000
51333140414143
6110153200000
713366113354
oct3132754000
91081470300
10426498048
111a9824329
12baa00000
136a48b612
1440901464
1527699bd3
hex196bd800

426498048 has 144 divisors (see below), whose sum is σ = 1278917640. Its totient is φ = 142000128.

The previous prime is 426498043. The next prime is 426498067. The reversal of 426498048 is 840894624.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 426497994 and 426498012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426498043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497236 + ... + 498092.

Almost surely, 2426498048 is an apocalyptic number.

426498048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426498048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639458820).

426498048 is an abundant number, since it is smaller than the sum of its proper divisors (852419592).

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

426498048 is an frugal number, since it uses more digits than its factorization.

426498048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 426498048 is about 20651.8291683812. The cubic root of 426498048 is about 752.7296373873.

The spelling of 426498048 in words is "four hundred twenty-six million, four hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 857 864 972 1024 1152 1296 1536 1714 1728 1944 2048 2304 2571 2592 3072 3428 3456 3888 4608 5142 5184 6144 6856 6912 7713 7776 9216 10284 10368 13712 13824 15426 15552 18432 20568 20736 23139 27424 27648 30852 31104 41136 41472 46278 54848 55296 61704 62208 69417 82272 82944 92556 109696 123408 124416 138834 164544 165888 185112 208251 219392 246816 248832 277668 329088 370224 416502 438784 493632 497664 555336 658176 740448 833004 877568 987264 1110672 1316352 1480896 1666008 1755136 1974528 2221344 2632704 2961792 3332016 3949056 4442688 5265408 5923584 6664032 7898112 8885376 11847168 13328064 15796224 17770752 23694336 26656128 35541504 47388672 53312256 71083008 106624512 142166016 213249024 426498048