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472019076 = 2234172712
BaseRepresentation
bin11100001000100…
…111000010000100
31012220012001110000
4130020213002010
51431314102301
6114501001300
714461044624
oct3410470204
91186161400
10472019076
11222495a11
121120b3230
1376a39139
1446990884
152b68c786
hex1c227084

472019076 has 135 divisors (see below), whose sum is σ = 1329528277. Its totient is φ = 145998720.

The previous prime is 472019063. The next prime is 472019077. The reversal of 472019076 is 670910274.

It is a happy number.

The square root of 472019076 is 21726.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 367488900 + 104530176 = 19170^2 + 10224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 472019076.

It is not an unprimeable number, because it can be changed into a prime (472019077) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6648121 + ... + 6648191.

Almost surely, 2472019076 is an apocalyptic number.

472019076 is the 21726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472019076

472019076 is an abundant number, since it is smaller than the sum of its proper divisors (857509201).

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

472019076 is a wasteful number, since it uses less digits than its factorization.

472019076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The cubic root of 472019076 is about 778.6097721293.

Multiplying 472019076 by its sum of digits (36), we get a square (16992686736 = 1303562).

472019076 divided by its sum of digits (36) gives a square (13111641 = 36212).

The spelling of 472019076 in words is "four hundred seventy-two million, nineteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 71 81 102 108 142 153 162 204 213 284 289 306 324 426 459 578 612 639 852 867 918 1156 1207 1278 1377 1734 1836 1917 2414 2556 2601 2754 3468 3621 3834 4828 5041 5202 5508 5751 7242 7668 7803 10082 10404 10863 11502 14484 15123 15606 20164 20519 21726 23004 23409 30246 31212 32589 41038 43452 45369 46818 60492 61557 65178 82076 85697 90738 93636 97767 123114 130356 136107 171394 181476 184671 195534 246228 257091 272214 342788 369342 391068 408321 514182 544428 554013 738684 771273 816642 1028364 1108026 1456849 1542546 1633284 1662039 2216052 2313819 2913698 3085092 3324078 4370547 4627638 5827396 6648156 6941457 8741094 9255276 13111641 13882914 17482188 26223282 27765828 39334923 52446564 78669846 118004769 157339692 236009538 472019076