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55112640 = 26351117307
BaseRepresentation
bin1101001000111…
…1001111000000
310211201000022220
43102033033000
5103102101030
65245131040
71236310152
oct322171700
9124630286
1055112640
1129122a40
1216559a80
13b55853b
147468ad2
154c89a10
hex348f3c0

55112640 has 224 divisors, whose sum is σ = 202777344. Its totient is φ = 12533760.

The previous prime is 55112639. The next prime is 55112653. The reversal of 55112640 is 4621155.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 55112640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179367 + ... + 179673.

It is an arithmetic number, because the mean of its divisors is an integer number (905256).

Almost surely, 255112640 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 55112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388672).

55112640 is an abundant number, since it is smaller than the sum of its proper divisors (147664704).

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

55112640 is a wasteful number, since it uses less digits than its factorization.

55112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 55112640 is about 7423.7887900990. The cubic root of 55112640 is about 380.5546839351.

Adding to 55112640 its reverse (4621155), we get a palindrome (59733795).

The spelling of 55112640 in words is "fifty-five million, one hundred twelve thousand, six hundred forty".