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472303440 = 24335731237
BaseRepresentation
bin11100001001101…
…100011101010000
31012220201111112000
4130021230131100
51431402202230
6114511034000
714463340650
oct3411543520
91186644460
10472303440
1122266a624
1211220b900
1376b086bb
1446a26360
152b6e6b60
hex1c26c750

472303440 has 160 divisors (see below), whose sum is σ = 1859285760. Its totient is φ = 107951616.

The previous prime is 472303439. The next prime is 472303441. The reversal of 472303440 is 44303274.

It is an interprime number because it is at equal distance from previous prime (472303439) and next prime (472303441).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472303441) 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, 499 + ... + 30738.

It is an arithmetic number, because the mean of its divisors is an integer number (11620536).

Almost surely, 2472303440 is an apocalyptic number.

472303440 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 472303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929642880).

472303440 is an abundant number, since it is smaller than the sum of its proper divisors (1386982320).

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

472303440 is a wasteful number, since it uses less digits than its factorization.

472303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31266 (or 31254 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 472303440 is about 21732.5433394253. The cubic root of 472303440 is about 778.7660964203.

The spelling of 472303440 in words is "four hundred seventy-two million, three hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 31237 62474 93711 124948 156185 187422 218659 249896 281133 312370 374844 437318 468555 499792 562266 624740 655977 749688 843399 874636 937110 1093295 1124532 1249480 1311954 1405665 1499376 1686798 1749272 1874220 1967931 2186590 2249064 2498960 2623908 2811330 3279885 3373596 3498544 3748440 3935862 4216995 4373180 4498128 5247816 5622660 5903793 6559770 6747192 7496880 7871724 8433990 8746360 9839655 10495632 11245320 11807586 13119540 13494384 15743448 16867980 17492720 19679310 22490640 23615172 26239080 29518965 31486896 33735960 39358620 47230344 52478160 59037930 67471920 78717240 94460688 118075860 157434480 236151720 472303440