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426054576 = 243233159211
BaseRepresentation
bin11001011001010…
…001001110110000
31002200200211000010
4121121101032300
51333032221301
6110135454520
713362255423
oct3131211660
91080624003
10426054576
111a9551122
12ba827440
136a3647cc
14408279ba
152760d5d6
hex196513b0

426054576 has 160 divisors (see below), whose sum is σ = 1211351040. Its totient is φ = 128620800.

The previous prime is 426054571. The next prime is 426054589. The reversal of 426054576 is 675450624.

It is not an unprimeable number, because it can be changed into a prime (426054571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2019111 + ... + 2019321.

It is an arithmetic number, because the mean of its divisors is an integer number (7570944).

Almost surely, 2426054576 is an apocalyptic number.

426054576 is a gapful number since it is divisible by the number (46) 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 426054576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605675520).

426054576 is an abundant number, since it is smaller than the sum of its proper divisors (785296464).

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

426054576 is a wasteful number, since it uses less digits than its factorization.

426054576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 426054576 is about 20641.0895061283. The cubic root of 426054576 is about 752.4686512108.

The spelling of 426054576 in words is "four hundred twenty-six million, fifty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 59 62 69 92 93 118 124 138 177 184 186 211 236 248 276 354 368 372 422 472 496 552 633 708 713 744 844 944 1104 1266 1357 1416 1426 1488 1688 1829 2139 2532 2714 2832 2852 3376 3658 4071 4278 4853 5064 5428 5487 5704 6541 7316 8142 8556 9706 10128 10856 10974 11408 12449 13082 14559 14632 16284 17112 19412 19623 21712 21948 24898 26164 29118 29264 32568 34224 37347 38824 39246 42067 43896 49796 52328 58236 65136 74694 77648 78492 84134 87792 99592 104656 116472 126201 149388 150443 156984 168268 199184 232944 252402 286327 298776 300886 313968 336536 385919 451329 504804 572654 597552 601772 673072 771838 858981 902658 1009608 1145308 1157757 1203544 1543676 1717962 1805316 2019216 2290616 2315514 2407088 3087352 3435924 3610632 4581232 4631028 6174704 6871848 7221264 8876137 9262056 13743696 17752274 18524112 26628411 35504548 53256822 71009096 106513644 142018192 213027288 426054576