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852721428 = 22313171372347
BaseRepresentation
bin110010110100110…
…111111100010100
32012102112201220010
4302310313330110
53221244041203
6220340440220
730063004206
oct6264677424
92172481803
10852721428
113a8380259
121b96a9070
13107881bc0
1481370776
154ecdd303
hex32d37f14

852721428 has 96 divisors (see below), whose sum is σ = 2286313344. Its totient is φ = 245035008.

The previous prime is 852721427. The next prime is 852721439. The reversal of 852721428 is 824127258.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852721427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362151 + ... + 364497.

It is an arithmetic number, because the mean of its divisors is an integer number (23815764).

Almost surely, 2852721428 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 852721428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143156672).

852721428 is an abundant number, since it is smaller than the sum of its proper divisors (1433591916).

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

852721428 is a wasteful number, since it uses less digits than its factorization.

852721428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2519 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 852721428 is about 29201.3942817805. The cubic root of 852721428 is about 948.2781101114.

The spelling of 852721428 in words is "eight hundred fifty-two million, seven hundred twenty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 137 156 204 221 274 411 442 548 663 822 884 1326 1644 1781 2329 2347 2652 3562 4658 4694 5343 6987 7041 7124 9316 9388 10686 13974 14082 21372 27948 28164 30277 30511 39899 60554 61022 79798 90831 91533 119697 121108 122044 159596 181662 183066 239394 321539 363324 366132 478788 518687 643078 964617 1037374 1286156 1556061 1929234 2074748 3112122 3858468 4180007 5466163 6224244 8360014 10932326 12540021 16398489 16720028 21864652 25080042 32796978 50160084 65593956 71060119 142120238 213180357 284240476 426360714 852721428