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55025406 = 2351959101
BaseRepresentation
bin1101000111100…
…1111011111110
310211112120200000
43101321323332
5103041303111
65243215130
71235464632
oct321717376
9124476600
1055025406
1129073447
12165174a6
13b527917
147444dc2
154c6dc56
hex3479efe

55025406 has 96 divisors (see below), whose sum is σ = 133660800. Its totient is φ = 16912800.

The previous prime is 55025393. The next prime is 55025419. The reversal of 55025406 is 60452055.

It is an interprime number because it is at equal distance from previous prime (55025393) and next prime (55025419).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 55025406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544756 + ... + 544856.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 255025406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55025406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

55025406 is an abundant number, since it is smaller than the sum of its proper divisors (78635394).

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

55025406 is a wasteful number, since it uses less digits than its factorization.

55025406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 55025406 is about 7417.9111615063. The cubic root of 55025406 is about 380.3537933108.

The spelling of 55025406 in words is "fifty-five million, twenty-five thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 59 81 101 114 118 162 171 177 202 243 303 342 354 486 513 531 606 909 1026 1062 1121 1539 1593 1818 1919 2242 2727 3078 3186 3363 3838 4617 4779 5454 5757 5959 6726 8181 9234 9558 10089 11514 11918 14337 16362 17271 17877 20178 24543 28674 30267 34542 35754 49086 51813 53631 60534 90801 103626 107262 113221 155439 160893 181602 226442 272403 310878 321786 339663 466317 482679 544806 679326 932634 965358 1018989 1448037 2037978 2896074 3056967 6113934 9170901 18341802 27512703 55025406