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125884248 = 23371634597
BaseRepresentation
bin1111000000011…
…01011101011000
322202212120201120
413200031131120
5224211243443
620254045240
73055666320
oct740153530
9282776646
10125884248
1165070776
12361a9820
1320107329
1412a0c280
15b0b9083
hex780d758

125884248 has 64 divisors (see below), whose sum is σ = 361954560. Its totient is φ = 35738496.

The previous prime is 125884247. The next prime is 125884271. The reversal of 125884248 is 842488521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125884247) 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 15 ways as a sum of consecutive naturals, for example, 25086 + ... + 29682.

It is an arithmetic number, because the mean of its divisors is an integer number (5655540).

Almost surely, 2125884248 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 125884248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180977280).

125884248 is an abundant number, since it is smaller than the sum of its proper divisors (236070312).

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

125884248 is a wasteful number, since it uses less digits than its factorization.

125884248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 4772 counting only the distinct ones).

The product of its digits is 163840, while the sum is 42.

The square root of 125884248 is about 11219.8149717364. The cubic root of 125884248 is about 501.1762281383.

It can be divided in two parts, 12588 and 4248, that added together give a triangular number (16836 = T183).

The spelling of 125884248 in words is "one hundred twenty-five million, eight hundred eighty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 163 168 326 489 652 978 1141 1304 1956 2282 3423 3912 4564 4597 6846 9128 9194 13692 13791 18388 27384 27582 32179 36776 55164 64358 96537 110328 128716 193074 257432 386148 749311 772296 1498622 2247933 2997244 4495866 5245177 5994488 8991732 10490354 15735531 17983464 20980708 31471062 41961416 62942124 125884248