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55697040 = 24325743257
BaseRepresentation
bin1101010001110…
…1111010010000
310212210200222100
43110131322100
5103224301130
65305440400
71244263020
oct324357220
9125720870
1055697040
1129492013
12167a0100
13b701539
14757ba80
154d52c60
hex351de90

55697040 has 240 divisors, whose sum is σ = 219593088. Its totient is φ = 12386304.

The previous prime is 55696973. The next prime is 55697041. The reversal of 55697040 is 4079655.

55697040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 55696986 and 55697004.

It is not an unprimeable number, because it can be changed into a prime (55697041) 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 47 ways as a sum of consecutive naturals, for example, 216592 + ... + 216848.

Almost surely, 255697040 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 55697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109796544).

55697040 is an abundant number, since it is smaller than the sum of its proper divisors (163896048).

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

55697040 is a wasteful number, since it uses less digits than its factorization.

55697040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 55697040 is about 7463.0449549765. The cubic root of 55697040 is about 381.8950581136.

The spelling of 55697040 in words is "fifty-five million, six hundred ninety-seven thousand, forty".