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4575725040 = 243534954629
BaseRepresentation
bin1000100001011110…
…00000010111110000
3102210220000220201210
410100233000113300
533332341200130
62034013400120
7221251010145
oct42057002760
912726026653
104575725040
111a38971a47
12a78499040
1357bc9b113
143159bc3cc
151bba9a5b0
hex110bc05f0

4575725040 has 80 divisors (see below), whose sum is σ = 14225652000. Its totient is φ = 1216674816.

The previous prime is 4575725029. The next prime is 4575725053. The reversal of 4575725040 is 405275754.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4575725040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56446 + ... + 111074.

It is an arithmetic number, because the mean of its divisors is an integer number (177820650).

Almost surely, 24575725040 is an apocalyptic number.

4575725040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4575725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112826000).

4575725040 is an abundant number, since it is smaller than the sum of its proper divisors (9649926960).

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

4575725040 is a wasteful number, since it uses less digits than its factorization.

4575725040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54994 (or 54988 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 39.

The square root of 4575725040 is about 67644.1057299156. The cubic root of 4575725040 is about 1660.1728469555.

The spelling of 4575725040 in words is "four billion, five hundred seventy-five million, seven hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 349 698 1047 1396 1745 2094 2792 3490 4188 5235 5584 6980 8376 10470 13960 16752 20940 27920 41880 54629 83760 109258 163887 218516 273145 327774 437032 546290 655548 819435 874064 1092580 1311096 1638870 2185160 2622192 3277740 4370320 6555480 13110960 19065521 38131042 57196563 76262084 95327605 114393126 152524168 190655210 228786252 285982815 305048336 381310420 457572504 571965630 762620840 915145008 1143931260 1525241680 2287862520 4575725040