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403426080 = 25325281997
BaseRepresentation
bin11000000010111…
…100101100100000
31001010010011112200
4120002330230200
51311234113310
6104010453200
712666031221
oct3002745440
91033104480
10403426080
111977a5a92
12b3134200
1365770b75
143b817248
152563d9c0
hex180bcb20

403426080 has 144 divisors (see below), whose sum is σ = 1382976504. Its totient is φ = 107089920.

The previous prime is 403426063. The next prime is 403426087. The reversal of 403426080 is 80624304.

It can be written as a sum of positive squares in 4 ways, for example, as 391564944 + 11861136 = 19788^2 + 3444^2 .

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

It is not an unprimeable number, because it can be changed into a prime (403426087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 404142 + ... + 405138.

Almost surely, 2403426080 is an apocalyptic number.

403426080 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 403426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691488252).

403426080 is an abundant number, since it is smaller than the sum of its proper divisors (979550424).

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

403426080 is a wasteful number, since it uses less digits than its factorization.

403426080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 403426080 is about 20085.4693746499. The cubic root of 403426080 is about 738.9039532442.

The spelling of 403426080 in words is "four hundred three million, four hundred twenty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 281 288 360 480 562 720 843 997 1124 1405 1440 1686 1994 2248 2529 2810 2991 3372 3988 4215 4496 4985 5058 5620 5982 6744 7976 8430 8973 8992 9970 10116 11240 11964 12645 13488 14955 15952 16860 17946 19940 20232 22480 23928 25290 26976 29910 31904 33720 35892 39880 40464 44865 44960 47856 50580 59820 67440 71784 79760 80928 89730 95712 101160 119640 134880 143568 159520 179460 202320 239280 280157 287136 358920 404640 478560 560314 717840 840471 1120628 1400785 1435680 1680942 2241256 2521413 2801570 3361884 4202355 4482512 5042826 5603140 6723768 8404710 8965024 10085652 11206280 12607065 13447536 16809420 20171304 22412560 25214130 26895072 33618840 40342608 44825120 50428260 67237680 80685216 100856520 134475360 201713040 403426080