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4725280872 = 2332131272313
BaseRepresentation
bin1000110011010011…
…00001000001101000
3110012022110010202200
410121221201001220
534134132441442
62100515100200
7225045140034
oct43151410150
913168403680
104725280872
112005330504
12aba5a1660
135a3c72ab0
1432b7cd1c4
151c9c8d34c
hex119a61068

4725280872 has 144 divisors (see below), whose sum is σ = 13935825540. Its totient is φ = 1437875712.

The previous prime is 4725280817. The next prime is 4725280897. The reversal of 4725280872 is 2780825274.

4725280872 is a `hidden beast` number, since 47 + 2 + 528 + 0 + 87 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3442638276 + 1282642596 = 58674^2 + 35814^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15096588 + ... + 15096900.

Almost surely, 24725280872 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 4725280872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967912770).

4725280872 is an abundant number, since it is smaller than the sum of its proper divisors (9210544668).

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

4725280872 is a wasteful number, since it uses less digits than its factorization.

4725280872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 4725280872 is about 68740.6784371525. The cubic root of 4725280872 is about 1678.0666620295.

The spelling of 4725280872 in words is "four billion, seven hundred twenty-five million, two hundred eighty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 127 156 234 254 312 313 381 468 508 626 762 936 939 1016 1143 1252 1524 1651 1878 2286 2504 2817 3048 3302 3756 4069 4572 4953 5634 6604 7512 8138 9144 9906 11268 12207 13208 14859 16129 16276 19812 22536 24414 29718 32258 32552 36621 39624 39751 48387 48828 59436 64516 73242 79502 96774 97656 118872 119253 129032 145161 146484 159004 193548 209677 238506 290322 292968 318008 357759 387096 419354 477012 516763 580644 629031 715518 838708 954024 1033526 1161288 1258062 1431036 1550289 1677416 1887093 2067052 2516124 2862072 3100578 3774186 4134104 4650867 5032248 5048377 6201156 7548372 9301734 10096754 12402312 15096744 15145131 18603468 20193508 30290262 37206936 40387016 45435393 60580524 65628901 90870786 121161048 131257802 181741572 196886703 262515604 363483144 393773406 525031208 590660109 787546812 1181320218 1575093624 2362640436 4725280872