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472416740 = 22517237472
BaseRepresentation
bin11100001010001…
…000000111100100
31012220221020221022
4130022020013210
51431414313430
6114513310312
714464322165
oct3412100744
91186836838
10472416740
11222737764
12112265398
1376b48143
1446a5576c
152b71a4e5
hex1c2881e4

472416740 has 108 divisors (see below), whose sum is σ = 1105866804. Its totient is φ = 169362432.

The previous prime is 472416739. The next prime is 472416743. The reversal of 472416740 is 47614274.

It can be written as a sum of positive squares in 6 ways, for example, as 90136036 + 382280704 = 9494^2 + 19552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 472416740.

It is not an unprimeable number, because it can be changed into a prime (472416743) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 10051397 + ... + 10051443.

Almost surely, 2472416740 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 472416740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552933402).

472416740 is an abundant number, since it is smaller than the sum of its proper divisors (633450064).

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

472416740 is a wasteful number, since it uses less digits than its factorization.

472416740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 472416740 is about 21735.1498729592. The cubic root of 472416740 is about 778.8283636951.

The spelling of 472416740 in words is "four hundred seventy-two million, four hundred sixteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 47 68 74 85 94 148 170 185 188 235 289 340 370 470 578 629 740 799 940 1156 1258 1445 1598 1739 2209 2516 2890 3145 3196 3478 3995 4418 5780 6290 6956 7990 8695 8836 10693 11045 12580 13583 15980 17390 21386 22090 27166 29563 34780 37553 42772 44180 53465 54332 59126 67915 75106 81733 106930 118252 135830 147815 150212 163466 187765 213860 271660 295630 326932 375530 408665 502571 591260 638401 751060 817330 1005142 1276802 1389461 1634660 2010284 2512855 2553604 2778922 3192005 5025710 5557844 6384010 6947305 10051420 12768020 13894610 23620837 27789220 47241674 94483348 118104185 236208370 472416740