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472436272 = 24711271491
BaseRepresentation
bin11100001010001…
…100111000110000
31012220222020201201
4130022030320300
51431420430042
6114513540544
714464433140
oct3412147060
91186866651
10472436272
11222750400
12112274754
1376b53cb9
1446a5c920
152b7211b7
hex1c28ce30

472436272 has 120 divisors (see below), whose sum is σ = 1168425216. Its totient is φ = 181104000.

The previous prime is 472436243. The next prime is 472436299. The reversal of 472436272 is 272634274.

It is a super-2 number, since 2×4724362722 = 446392062202515968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 961947 + ... + 962437.

Almost surely, 2472436272 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 472436272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584212608).

472436272 is an abundant number, since it is smaller than the sum of its proper divisors (695988944).

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

472436272 is a wasteful number, since it uses less digits than its factorization.

472436272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 582 counting only the distinct ones).

The product of its digits is 112896, while the sum is 37.

The square root of 472436272 is about 21735.5991865879. The cubic root of 472436272 is about 778.8390970616.

The spelling of 472436272 in words is "four hundred seventy-two million, four hundred thirty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 71 77 88 112 121 142 154 176 242 284 308 484 491 497 568 616 781 847 968 982 994 1136 1232 1562 1694 1936 1964 1988 3124 3388 3437 3928 3976 5401 5467 6248 6776 6874 7856 7952 8591 10802 10934 12496 13552 13748 17182 21604 21868 27496 34364 34861 37807 43208 43736 54992 59411 60137 68728 69722 75614 86416 87472 118822 120274 137456 139444 151228 237644 240548 244027 278888 302456 383471 415877 475288 481096 488054 557776 604912 766942 831754 950576 962192 976108 1533884 1663508 1952216 2684297 3067768 3327016 3904432 4218181 5368594 6135536 6654032 8436362 10737188 16872724 21474376 29527267 33745448 42948752 59054534 67490896 118109068 236218136 472436272