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125672848 = 24721571021
BaseRepresentation
bin1110111110110…
…01110110010000
322202110211201221
413133121312100
5224133012343
620245334424
73054126100
oct737316620
9282424657
10125672848
1164a36964
1236107414
1320062042
1412995200
15b0765ed
hex77d9d90

125672848 has 60 divisors (see below), whose sum is σ = 285328092. Its totient is φ = 53464320.

The previous prime is 125672839. The next prime is 125672849. The reversal of 125672848 is 848276521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 71031184 = 7392^2 + 8428^2 .

It is a super-2 number, since 2×1256728482 = 31587329448862208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125672849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122578 + ... + 123598.

Almost surely, 2125672848 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 125672848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142664046).

125672848 is an abundant number, since it is smaller than the sum of its proper divisors (159655244).

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

125672848 is a wasteful number, since it uses less digits than its factorization.

125672848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1187 counting only the distinct ones).

The product of its digits is 215040, while the sum is 43.

The square root of 125672848 is about 11210.3901805423. The cubic root of 125672848 is about 500.8955257763.

The spelling of 125672848 in words is "one hundred twenty-five million, six hundred seventy-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 157 196 314 392 628 784 1021 1099 1256 2042 2198 2512 4084 4396 7147 7693 8168 8792 14294 15386 16336 17584 28588 30772 50029 57176 61544 100058 114352 123088 160297 200116 320594 400232 641188 800464 1122079 1282376 2244158 2564752 4488316 7854553 8976632 15709106 17953264 31418212 62836424 125672848