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126878048 = 25111961311
BaseRepresentation
bin1111001000000…
…00000101100000
322211202001221222
413210000011200
5224440044143
620331234212
73100305563
oct744000540
9284661858
10126878048
116568a3a0
12365a8968
132039478b
1412bca4da
15b213768
hex7900160

126878048 has 96 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 53568000.

The previous prime is 126878041. The next prime is 126878077. The reversal of 126878048 is 840878621.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126878041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407813 + ... + 408123.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2126878048 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 126878048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

126878048 is an abundant number, since it is smaller than the sum of its proper divisors (165603232).

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

126878048 is a wasteful number, since it uses less digits than its factorization.

126878048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 126878048 is about 11264.0156249892. The cubic root of 126878048 is about 502.4916269654.

The spelling of 126878048 in words is "one hundred twenty-six million, eight hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 61 76 88 122 152 176 209 244 304 311 352 418 488 608 622 671 836 976 1159 1244 1342 1672 1952 2318 2488 2684 3344 3421 4636 4976 5368 5909 6688 6842 9272 9952 10736 11818 12749 13684 18544 18971 21472 23636 25498 27368 37088 37942 47272 50996 54736 64999 75884 94544 101992 109472 129998 151768 189088 203984 208681 259996 303536 360449 407968 417362 519992 607072 720898 834724 1039984 1441796 1669448 2079968 2883592 3338896 3964939 5767184 6677792 7929878 11534368 15859756 31719512 63439024 126878048