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127948752 = 2432888533
BaseRepresentation
bin1111010000001…
…01011111010000
322220202110200200
413220011133100
5230223330002
620410215200
73112355301
oct750053720
9286673620
10127948752
1166250878
1236a24500
132067ac29
1412dc87a8
15b375b1c
hex7a057d0

127948752 has 30 divisors (see below), whose sum is σ = 358079202. Its totient is φ = 42649536.

The previous prime is 127948739. The next prime is 127948759. The reversal of 127948752 is 257849721.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 111007296 + 16941456 = 10536^2 + 4116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 127948698 and 127948707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127948759) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 444123 + ... + 444410.

Almost surely, 2127948752 is an apocalyptic number.

127948752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127948752 is an abundant number, since it is smaller than the sum of its proper divisors (230130450).

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

127948752 is a wasteful number, since it uses less digits than its factorization.

127948752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888547 (or 888538 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 127948752 is about 11311.4434092206. The cubic root of 127948752 is about 503.9011521943.

The spelling of 127948752 in words is "one hundred twenty-seven million, nine hundred forty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 888533 1777066 2665599 3554132 5331198 7108264 7996797 10662396 14216528 15993594 21324792 31987188 42649584 63974376 127948752