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55125756 = 22327239511
BaseRepresentation
bin1101001001001…
…0011011111100
310211201200022200
43102102123330
5103103011011
65245311500
71236363330
oct322223374
9124650280
1055125756
1129131884
1216565590
13b5614ba
14746d7c0
154c8d856
hex34926fc

55125756 has 72 divisors (see below), whose sum is σ = 166193664. Its totient is φ = 15063840.

The previous prime is 55125751. The next prime is 55125767. The reversal of 55125756 is 65752155.

It is a happy number.

55125756 is a `hidden beast` number, since 551 + 2 + 57 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55125756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55125751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041 + ... + 10551.

Almost surely, 255125756 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 55125756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83096832).

55125756 is an abundant number, since it is smaller than the sum of its proper divisors (111067908).

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

55125756 is a wasteful number, since it uses less digits than its factorization.

55125756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9551 (or 9546 counting only the distinct ones).

The product of its digits is 52500, while the sum is 36.

The square root of 55125756 is about 7424.6721139724. The cubic root of 55125756 is about 380.5848703517.

The spelling of 55125756 in words is "fifty-five million, one hundred twenty-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 9511 19022 28533 38044 57066 66577 85599 114132 133154 171198 199731 218753 266308 342396 399462 437506 599193 656259 798924 875012 1198386 1312518 1531271 1968777 2396772 2625036 3062542 3937554 4593813 6125084 7875108 9187626 13781439 18375252 27562878 55125756