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426474880 = 2751323943
BaseRepresentation
bin11001011010110…
…111110110000000
31002201111011112221
4121122313312000
51333134144010
6110152500424
713365655666
oct3132676600
91081434487
10426474880
111a9808987
12ba9aa714
136a480c00
14408d6c36
1527692dda
hex196b7d80

426474880 has 96 divisors (see below), whose sum is σ = 1104280560. Its totient is φ = 157427712.

The previous prime is 426474877. The next prime is 426474889. The reversal of 426474880 is 88474624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426474889) 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, 106189 + ... + 110131.

Almost surely, 2426474880 is an apocalyptic number.

426474880 is a gapful number since it is divisible by the number (40) 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 426474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552140280).

426474880 is an abundant number, since it is smaller than the sum of its proper divisors (677805680).

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

426474880 is a wasteful number, since it uses less digits than its factorization.

426474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The square root of 426474880 is about 20651.2682419265. The cubic root of 426474880 is about 752.7160073476.

The spelling of 426474880 in words is "four hundred twenty-six million, four hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 169 208 260 320 338 416 520 640 676 832 845 1040 1352 1664 1690 2080 2704 3380 3943 4160 5408 6760 7886 8320 10816 13520 15772 19715 21632 27040 31544 39430 51259 54080 63088 78860 102518 108160 126176 157720 205036 252352 256295 315440 410072 504704 512590 630880 666367 820144 1025180 1261760 1332734 1640288 2050360 2523520 2665468 3280576 3331835 4100720 5330936 6561152 6663670 8201440 10661872 13327340 16402880 21323744 26654680 32805760 42647488 53309360 85294976 106618720 213237440 426474880