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472637040 = 24355373509
BaseRepresentation
bin11100001010111…
…101111001110000
31012221100110010120
4130022331321300
51431443341130
6114522130240
714466230361
oct3412757160
91187313116
10472637040
11222878227
12112350980
1376bc44b5
1446ab1b68
152b760910
hex1c2bde70

472637040 has 160 divisors (see below), whose sum is σ = 1516242240. Its totient is φ = 121724928.

The previous prime is 472637021. The next prime is 472637153. The reversal of 472637040 is 40736274.

It is a junction number, because it is equal to n+sod(n) for n = 472636992 and 472637010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928306 + ... + 928814.

It is an arithmetic number, because the mean of its divisors is an integer number (9476514).

Almost surely, 2472637040 is an apocalyptic number.

472637040 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 472637040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758121120).

472637040 is an abundant number, since it is smaller than the sum of its proper divisors (1043605200).

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

472637040 is a wasteful number, since it uses less digits than its factorization.

472637040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 472637040 is about 21740.2171102314. The cubic root of 472637040 is about 778.9494074056.

The spelling of 472637040 in words is "four hundred seventy-two million, six hundred thirty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 73 80 106 120 146 159 212 219 240 265 292 318 365 424 438 509 530 584 636 730 795 848 876 1018 1060 1095 1168 1272 1460 1527 1590 1752 2036 2120 2190 2544 2545 2920 3054 3180 3504 3869 4072 4240 4380 5090 5840 6108 6360 7635 7738 8144 8760 10180 11607 12216 12720 15270 15476 17520 19345 20360 23214 24432 26977 30540 30952 37157 38690 40720 46428 53954 58035 61080 61904 74314 77380 80931 92856 107908 111471 116070 122160 134885 148628 154760 161862 185712 185785 215816 222942 232140 269770 297256 309520 323724 371570 404655 431632 445884 464280 539540 557355 594512 647448 743140 809310 891768 928560 1079080 1114710 1294896 1486280 1618620 1783536 1969321 2158160 2229420 2972560 3237240 3938642 4458840 5907963 6474480 7877284 8917680 9846605 11815926 15754568 19693210 23631852 29539815 31509136 39386420 47263704 59079630 78772840 94527408 118159260 157545680 236318520 472637040