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472776642 = 233135397131
BaseRepresentation
bin11100001011011…
…111111111000010
31012221121112122000
4130023133333002
51432012323032
6114525124430
714500351362
oct3413377702
91187545560
10472776642
112229630a8
121123b9716
1376c42bc0
1446b0a9a2
152b78be7c
hex1c2dffc2

472776642 has 128 divisors (see below), whose sum is σ = 1173553920. Its totient is φ = 140175360.

The previous prime is 472776641. The next prime is 472776643. The reversal of 472776642 is 246677274.

It is an interprime number because it is at equal distance from previous prime (472776641) and next prime (472776643).

It is not an unprimeable number, because it can be changed into a prime (472776641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3608917 + ... + 3609047.

It is an arithmetic number, because the mean of its divisors is an integer number (9168390).

Almost surely, 2472776642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472776642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586776960).

472776642 is an abundant number, since it is smaller than the sum of its proper divisors (700777278).

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

472776642 is a wasteful number, since it uses less digits than its factorization.

472776642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 472776642 is about 21743.4275586900. The cubic root of 472776642 is about 779.0260921773.

The spelling of 472776642 in words is "four hundred seventy-two million, seven hundred seventy-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 97 106 117 131 159 194 234 262 291 318 351 393 477 582 689 702 786 873 954 1179 1261 1378 1431 1703 1746 2067 2358 2522 2619 2862 3406 3537 3783 4134 5109 5141 5238 6201 6943 7074 7566 10218 10282 11349 12402 12707 13886 15327 15423 18603 20829 22698 25414 30654 30846 34047 37206 38121 41658 45981 46269 62487 66833 68094 76242 90259 91962 92538 114363 124974 133666 138807 165191 180518 187461 200499 228726 270777 277614 330382 343089 374922 400998 495573 541554 601497 673471 686178 812331 991146 1202994 1346942 1486719 1624662 1804491 2020413 2436993 2973438 3608982 4040826 4460157 4873986 6061239 8755123 8920314 12122478 17510246 18183717 26265369 36367434 52530738 78796107 157592214 236388321 472776642