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472428840 = 233513319769
BaseRepresentation
bin11100001010001…
…011000100101000
31012220221212112110
4130022023010220
51431420210330
6114513442320
714464402362
oct3412130450
91186855473
10472428840
11222745864
121122703a0
1376b507c0
1446a59d32
152b71ddb0
hex1c28b128

472428840 has 128 divisors (see below), whose sum is σ = 1575705600. Its totient is φ = 112527360.

The previous prime is 472428833. The next prime is 472428877. The reversal of 472428840 is 48824274.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43476 + ... + 53244.

It is an arithmetic number, because the mean of its divisors is an integer number (12310200).

Almost surely, 2472428840 is an apocalyptic number.

472428840 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 472428840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787852800).

472428840 is an abundant number, since it is smaller than the sum of its proper divisors (1103276760).

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

472428840 is a wasteful number, since it uses less digits than its factorization.

472428840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9827 (or 9823 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 472428840 is about 21735.4282221446. The cubic root of 472428840 is about 778.8350130098.

The spelling of 472428840 in words is "four hundred seventy-two million, four hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3224 3720 4030 4836 6045 8060 9672 9769 12090 16120 19538 24180 29307 39076 48360 48845 58614 78152 97690 117228 126997 146535 195380 234456 253994 293070 302839 380991 390760 507988 586140 605678 634985 761982 908517 1015976 1172280 1211356 1269970 1514195 1523964 1817034 1904955 2422712 2539940 3028390 3047928 3634068 3809910 3936907 4542585 5079880 6056780 7268136 7619820 7873814 9085170 11810721 12113560 15239640 15747628 18170340 19684535 23621442 31495256 36340680 39369070 47242884 59053605 78738140 94485768 118107210 157476280 236214420 472428840