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2572925004 = 22321373127593
BaseRepresentation
bin1001100101011011…
…1011100001001100
320122022102010120200
42121112323201030
520232132100004
61103150413500
7120521334036
oct23126734114
96568363520
102572925004
111100392701
125b9801290
13320083440
141a59d4c56
15100d33239
hex995bb84c

2572925004 has 144 divisors (see below), whose sum is σ = 7167992832. Its totient is φ = 773369856.

The previous prime is 2572924961. The next prime is 2572925063. The reversal of 2572925004 is 4005292752.

It is a happy number.

2572925004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2572925004.

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, 4338532 + ... + 4339124.

It is an arithmetic number, because the mean of its divisors is an integer number (49777728).

Almost surely, 22572925004 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 2572925004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583996416).

2572925004 is an abundant number, since it is smaller than the sum of its proper divisors (4595067828).

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

2572925004 is a wasteful number, since it uses less digits than its factorization.

2572925004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2572925004 is about 50724.0081618162. The cubic root of 2572925004 is about 1370.2791275968.

The spelling of 2572925004 in words is "two billion, five hundred seventy-two million, nine hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 117 127 146 156 219 234 254 292 381 438 468 508 593 657 762 876 949 1143 1186 1314 1524 1651 1779 1898 2286 2372 2628 2847 3302 3558 3796 4572 4953 5337 5694 6604 7116 7709 8541 9271 9906 10674 11388 14859 15418 17082 18542 19812 21348 23127 27813 29718 30836 34164 37084 43289 46254 55626 59436 69381 75311 83439 86578 92508 111252 120523 129867 138762 150622 166878 173156 225933 241046 259734 277524 301244 333756 361569 389601 451866 482092 519468 562757 677799 723138 779202 903732 979043 1084707 1125514 1355598 1446276 1558404 1688271 1958086 2169414 2251028 2711196 2937129 3376542 3916172 4338828 5064813 5497703 5874258 6753084 8811387 10129626 10995406 11748516 16493109 17622774 20259252 21990812 32986218 35245548 49479327 65972436 71470139 98958654 142940278 197917308 214410417 285880556 428820834 643231251 857641668 1286462502 2572925004