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556728396 = 223724397227
BaseRepresentation
bin100001001011110…
…000000001001100
31102210120201210020
4201023300001030
52120010302041
6131124342140
716540053600
oct4113600114
91383521706
10556728396
11266293314
12136544950
138b457bb3
1453d21500
1533d21866
hex212f004c

556728396 has 144 divisors (see below), whose sum is σ = 1569085056. Its totient is φ = 153086976.

The previous prime is 556728323. The next prime is 556728433. The reversal of 556728396 is 693827655.

It is a happy number.

556728396 is a nontrivial binomial coefficient, being equal to C(33369, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2452435 + ... + 2452661.

It is an arithmetic number, because the mean of its divisors is an integer number (10896424).

Almost surely, 2556728396 is an apocalyptic number.

556728396 is the 33368-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556728396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784542528).

556728396 is an abundant number, since it is smaller than the sum of its proper divisors (1012356660).

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

556728396 is a wasteful number, since it uses less digits than its factorization.

556728396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The square root of 556728396 is about 23595.0926253745. The cubic root of 556728396 is about 822.6487794842.

The spelling of 556728396 in words is "five hundred fifty-six million, seven hundred twenty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 97 98 129 147 172 194 196 227 258 291 294 301 388 454 516 582 588 602 679 681 903 908 1164 1204 1358 1362 1589 1806 2037 2107 2716 2724 3178 3612 4074 4171 4214 4753 4767 6321 6356 8148 8342 8428 9506 9534 9761 11123 12513 12642 14259 16684 19012 19068 19522 22019 22246 25026 25284 28518 29197 29283 33369 39044 44038 44492 50052 57036 58394 58566 66057 66738 68327 87591 88076 116788 117132 132114 133476 136654 154133 175182 204379 204981 264228 273308 308266 350364 408758 409962 462399 478289 613137 616532 817516 819924 924798 946817 956578 1078931 1226274 1434867 1849596 1893634 1913156 2157862 2452548 2840451 2869734 3236793 3787268 4315724 5680902 5739468 6473586 6627719 11361804 12947172 13255438 19883157 26510876 39766314 46394033 79532628 92788066 139182099 185576132 278364198 556728396