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1485413072 = 2411134011619
BaseRepresentation
bin101100010001001…
…1001101011010000
310211112001210122222
41120202121223100
511020231204242
6403221320212
751544542233
oct13042315320
93745053588
101485413072
116a2527910
12355566068
131a8985960
141013c741a
158a6175d2
hex58899ad0

1485413072 has 80 divisors (see below), whose sum is σ = 3391657920. Its totient is φ = 621312000.

The previous prime is 1485413023. The next prime is 1485413099. The reversal of 1485413072 is 2703145841.

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, 916679 + ... + 918297.

It is an arithmetic number, because the mean of its divisors is an integer number (42395724).

Almost surely, 21485413072 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 1485413072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695828960).

1485413072 is an abundant number, since it is smaller than the sum of its proper divisors (1906244848).

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

1485413072 is a wasteful number, since it uses less digits than its factorization.

1485413072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 1485413072 is about 38541.0569652676. The cubic root of 1485413072 is about 1140.9915124740.

The spelling of 1485413072 in words is "one billion, four hundred eighty-five million, four hundred thirteen thousand, seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 401 572 802 1144 1604 1619 2288 3208 3238 4411 5213 6416 6476 8822 10426 12952 17644 17809 20852 21047 25904 35288 35618 41704 42094 57343 70576 71236 83408 84188 114686 142472 168376 229372 231517 284944 336752 458744 463034 649219 917488 926068 1298438 1852136 2596876 3704272 5193752 7141409 8439847 10387504 14282818 16879694 28565636 33759388 57131272 67518776 92838317 114262544 135037552 185676634 371353268 742706536 1485413072