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1252084480 = 2851039497
BaseRepresentation
bin100101010100001…
…0100101100000000
310020021000111000021
41022220110230000
510031013200410
6324124303224
743012354033
oct11250245400
93207014007
101252084480
11592850669
122ab3a1b14
1316c52c5ba
14bc40b01a
1574dc7eda
hex4aa14b00

1252084480 has 72 divisors (see below), whose sum is σ = 3028570272. Its totient is φ = 495919104.

The previous prime is 1252084447. The next prime is 1252084481. The reversal of 1252084480 is 844802521.

It is not an unprimeable number, because it can be changed into a prime (1252084481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127092 + ... + 136588.

It is an arithmetic number, because the mean of its divisors is an integer number (42063476).

Almost surely, 21252084480 is an apocalyptic number.

1252084480 is a gapful number since it is divisible by the number (10) 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 1252084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514285136).

1252084480 is an abundant number, since it is smaller than the sum of its proper divisors (1776485792).

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

1252084480 is an equidigital number, since it uses as much as digits as its factorization.

1252084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9621 (or 9607 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 1252084480 is about 35384.8057787520. The cubic root of 1252084480 is about 1077.8157959531.

The spelling of 1252084480 in words is "one billion, two hundred fifty-two million, eighty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 256 320 412 515 640 824 1030 1280 1648 2060 3296 4120 6592 8240 9497 13184 16480 18994 26368 32960 37988 47485 65920 75976 94970 131840 151952 189940 303904 379880 607808 759760 978191 1215616 1519520 1956382 2431232 3039040 3912764 4890955 6078080 7825528 9781910 12156160 15651056 19563820 31302112 39127640 62604224 78255280 125208448 156510560 250416896 313021120 626042240 1252084480