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423048960 = 2833512241
BaseRepresentation
bin11001001101110…
…011011100000000
31002111001010002000
4121031303130000
51331300031320
6105551224000
713324566615
oct3115633400
91074033060
10423048960
111a7888a44
12b9818000
1369851739
144028450c
1527217c90
hex19373700

423048960 has 144 divisors (see below), whose sum is σ = 1501358880. Its totient is φ = 112803840.

The previous prime is 423048953. The next prime is 423048973. The reversal of 423048960 is 69840324.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28440 + ... + 40680.

Almost surely, 2423048960 is an apocalyptic number.

423048960 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 423048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750679440).

423048960 is an abundant number, since it is smaller than the sum of its proper divisors (1078309920).

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

423048960 is a wasteful number, since it uses less digits than its factorization.

423048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12271 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 423048960 is about 20568.1540250942. The cubic root of 423048960 is about 750.6950357015.

The spelling of 423048960 in words is "four hundred twenty-three million, forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 12241 17280 24482 34560 36723 48964 61205 73446 97928 110169 122410 146892 183615 195856 220338 244820 293784 330507 367230 391712 440676 489640 550845 587568 661014 734460 783424 881352 979280 1101690 1175136 1322028 1468920 1566848 1652535 1762704 1958560 2203380 2350272 2644056 2937840 3133696 3305070 3525408 3917120 4406760 4700544 5288112 5875680 6610140 7050816 7834240 8813520 9401088 10576224 11751360 13220280 14101632 15668480 17627040 21152448 23502720 26440560 28203264 35254080 42304896 47005440 52881120 70508160 84609792 105762240 141016320 211524480 423048960