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2025214542 = 233132313709
BaseRepresentation
bin111100010110110…
…0101001001001110
312020010210120002000
41320231211021032
513121423331132
6532543213130
7101121016401
oct17055451116
95203716060
102025214542
1194a1a972a
124862a71a6
13263765100
14152d7dd38
15bcbe387c
hex78b6524e

2025214542 has 96 divisors (see below), whose sum is σ = 4895762400. Its totient is φ = 620275968.

The previous prime is 2025214493. The next prime is 2025214549. The reversal of 2025214542 is 2454125202.

2025214542 is a `hidden beast` number, since 202 + 5 + 2 + 1 + 454 + 2 = 666.

It is a super-2 number, since 2×20252145422 = 8202987882256539528, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025214549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2856084 + ... + 2856792.

It is an arithmetic number, because the mean of its divisors is an integer number (50997525).

Almost surely, 22025214542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025214542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447881200).

2025214542 is an abundant number, since it is smaller than the sum of its proper divisors (2870547858).

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

2025214542 is a wasteful number, since it uses less digits than its factorization.

2025214542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2025214542 is about 45002.3837368644. The cubic root of 2025214542 is about 1265.1936758146.

Adding to 2025214542 its reverse (2454125202), we get a palindrome (4479339744).

The spelling of 2025214542 in words is "two billion, twenty-five million, two hundred fourteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 313 338 351 507 626 702 709 939 1014 1418 1521 1878 2127 2817 3042 4069 4254 4563 5634 6381 8138 8451 9126 9217 12207 12762 16902 18434 19143 24414 27651 36621 38286 52897 55302 73242 82953 105794 109863 119821 158691 165906 219726 221917 239642 248859 317382 359463 443834 476073 497718 665751 718926 952146 1078389 1331502 1428219 1997253 2156778 2856438 2884921 3235167 3994506 5769842 5991759 6470334 8654763 11983518 17309526 25964289 37503973 51928578 75007946 77892867 112511919 155785734 225023838 337535757 675071514 1012607271 2025214542