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2052189048 = 2337135631669
BaseRepresentation
bin111101001010001…
…1110101101111000
312022000120000010210
41322110132231320
513200330022143
6535345311120
7101566214310
oct17224365570
95260500123
102052189048
11963453008
124933354a0
1326921ac60
141567a2440
15c0271033
hex7a51eb78

2052189048 has 128 divisors (see below), whose sum is σ = 6329433600. Its totient is φ = 539951616.

The previous prime is 2052189047. The next prime is 2052189049. The reversal of 2052189048 is 8409812502.

It is an interprime number because it is at equal distance from previous prime (2052189047) and next prime (2052189049).

It is a super-2 number, since 2×20521890482 = 8422959777462292608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2052188997 and 2052189015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052189043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228758 + ... + 1230426.

It is an arithmetic number, because the mean of its divisors is an integer number (49448700).

Almost surely, 22052189048 is an apocalyptic number.

2052189048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052189048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164716800).

2052189048 is an abundant number, since it is smaller than the sum of its proper divisors (4277244552).

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

2052189048 is a wasteful number, since it uses less digits than its factorization.

2052189048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 2052189048 is about 45301.0932318415. The cubic root of 2052189048 is about 1270.7860981511.

The spelling of 2052189048 in words is "two billion, fifty-two million, one hundred eighty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 563 728 1092 1126 1669 1689 2184 2252 3338 3378 3941 4504 5007 6676 6756 7319 7882 10014 11683 11823 13352 13512 14638 15764 20028 21697 21957 23366 23646 29276 31528 35049 40056 43394 43914 46732 47292 51233 58552 65091 70098 86788 87828 93464 94584 102466 130182 140196 151879 153699 173576 175656 204932 260364 280392 303758 307398 409864 455637 520728 607516 614796 911274 939647 1215032 1229592 1822548 1879294 2818941 3645096 3758588 5637882 6577529 7517176 11275764 12215411 13155058 19732587 22551528 24430822 26310116 36646233 39465174 48861644 52620232 73292466 78930348 85507877 97723288 146584932 157860696 171015754 256523631 293169864 342031508 513047262 684063016 1026094524 2052189048