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126776352 = 2531498863
BaseRepresentation
bin1111000111001…
…11010000100000
322211112220110110
413203213100200
5224423320402
620325131320
73066403233
oct743472040
9284486413
10126776352
116561aa4a
1236559b40
132035a3c1
1412ba141a
15b1e356c
hex78e7420

126776352 has 48 divisors (see below), whose sum is σ = 335059200. Its totient is φ = 41970432.

The previous prime is 126776323. The next prime is 126776389. The reversal of 126776352 is 253677621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 126776352.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9873 + ... + 18735.

It is an arithmetic number, because the mean of its divisors is an integer number (6980400).

Almost surely, 2126776352 is an apocalyptic number.

126776352 is a gapful number since it is divisible by the number (12) 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 126776352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167529600).

126776352 is an abundant number, since it is smaller than the sum of its proper divisors (208282848).

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

126776352 is a wasteful number, since it uses less digits than its factorization.

126776352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9025 (or 9017 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 126776352 is about 11259.5005217816. The cubic root of 126776352 is about 502.3573377840.

The spelling of 126776352 in words is "one hundred twenty-six million, seven hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1788 2384 3576 4768 7152 8863 14304 17726 26589 35452 53178 70904 106356 141808 212712 283616 425424 850848 1320587 2641174 3961761 5282348 7923522 10564696 15847044 21129392 31694088 42258784 63388176 126776352