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472275100 = 2252112231697
BaseRepresentation
bin11100001001100…
…101100010011100
31012220200001122101
4130021211202130
51431400300400
6114510254444
714463162223
oct3411454234
91186601571
10472275100
11222650300
121121b7424
1376ac882b
1446a19cba
152b6dd56a
hex1c26589c

472275100 has 108 divisors (see below), whose sum is σ = 1176143472. Its totient is φ = 164172800.

The previous prime is 472275073. The next prime is 472275101. The reversal of 472275100 is 1572274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472275101) 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 35 ways as a sum of consecutive naturals, for example, 277452 + ... + 279148.

Almost surely, 2472275100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472275100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588071736).

472275100 is an abundant number, since it is smaller than the sum of its proper divisors (703868372).

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

472275100 is a wasteful number, since it uses less digits than its factorization.

472275100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 472275100 is about 21731.8913120787. The cubic root of 472275100 is about 778.7505198011.

It can be divided in two parts, 472 and 275100, that added together give a palindrome (275572).

The spelling of 472275100 in words is "four hundred seventy-two million, two hundred seventy-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 121 220 230 242 253 275 460 484 506 550 575 605 1012 1100 1150 1210 1265 1697 2300 2420 2530 2783 3025 3394 5060 5566 6050 6325 6788 8485 11132 12100 12650 13915 16970 18667 25300 27830 33940 37334 39031 42425 55660 69575 74668 78062 84850 93335 139150 156124 169700 186670 195155 205337 278300 373340 390310 410674 429341 466675 780620 821348 858682 933350 975775 1026685 1717364 1866700 1951550 2053370 2146705 3903100 4106740 4293410 4722751 5133425 8586820 9445502 10266850 10733525 18891004 20533700 21467050 23613755 42934100 47227510 94455020 118068775 236137550 472275100