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55145076 = 22371723273
BaseRepresentation
bin1101001001011…
…1001001110100
310211202122211020
43102113021310
5103104120301
65245541140
71236503550
oct322271164
9124678736
1055145076
1129145348
12165747b0
13b56a22c
147476860
154c94436
hex3497274

55145076 has 144 divisors (see below), whose sum is σ = 164997504. Its totient is φ = 13989888.

The previous prime is 55145071. The next prime is 55145137. The reversal of 55145076 is 67054155.

55145076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55145071) 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, 755376 + ... + 755448.

It is an arithmetic number, because the mean of its divisors is an integer number (1145816).

Almost surely, 255145076 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 55145076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82498752).

55145076 is an abundant number, since it is smaller than the sum of its proper divisors (109852428).

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

55145076 is a wasteful number, since it uses less digits than its factorization.

55145076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 55145076 is about 7425.9730675515. The cubic root of 55145076 is about 380.6293265273.

The spelling of 55145076 in words is "fifty-five million, one hundred forty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 23 28 34 42 46 51 68 69 73 84 92 102 119 138 146 161 204 219 238 276 292 322 357 391 438 476 483 511 529 644 714 782 876 966 1022 1058 1173 1241 1428 1533 1564 1587 1679 1932 2044 2116 2346 2482 2737 3066 3174 3358 3703 3723 4692 4964 5037 5474 6132 6348 6716 7406 7446 8211 8687 8993 10074 10948 11109 11753 14812 14892 16422 17374 17986 20148 22218 23506 26061 26979 28543 32844 34748 35259 35972 38617 44436 47012 52122 53958 57086 62951 70518 77234 85629 104244 107916 114172 115851 125902 141036 154468 171258 188853 199801 231702 251804 270319 342516 377706 399602 463404 540638 599403 656489 755412 799204 810957 1081276 1198806 1312978 1621914 1969467 2397612 2625956 3243828 3938934 4595423 7877868 9190846 13786269 18381692 27572538 55145076