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127225488 = 24313316577
BaseRepresentation
bin1111001010101…
…00111010010000
322212101201120010
413211110322100
5230032203423
620342514520
73103253535
oct745247220
9285351503
10127225488
11658a7435
1236735a40
1320486970
1412c7ad8c
15b281693
hex7954e90

127225488 has 80 divisors (see below), whose sum is σ = 365421056. Its totient is φ = 37877760.

The previous prime is 127225481. The next prime is 127225517. The reversal of 127225488 is 884522721.

It is a super-5 number, since 5×1272254885 (a number of 42 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127225481) 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, 16056 + ... + 22632.

Almost surely, 2127225488 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 127225488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182710528).

127225488 is an abundant number, since it is smaller than the sum of its proper divisors (238195568).

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

127225488 is a wasteful number, since it uses less digits than its factorization.

127225488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6626 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 127225488 is about 11279.4276450536. The cubic root of 127225488 is about 502.9498795292.

The spelling of 127225488 in words is "one hundred twenty-seven million, two hundred twenty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 6577 9672 13154 19344 19731 26308 39462 52616 78924 85501 105232 157848 171002 203887 256503 315696 342004 407774 513006 611661 684008 815548 1026012 1223322 1368016 1631096 2052024 2446644 2650531 3262192 4104048 4893288 5301062 7951593 9786576 10602124 15903186 21204248 31806372 42408496 63612744 127225488