Search a number
-
+
1873925064 = 233311271699
BaseRepresentation
bin110111110110001…
…1101001111001000
311211121010020221000
41233230131033020
512314211100224
6505540415000
764303046244
oct15754351710
94747106830
101873925064
11881866700
124436a7460
1323b3042cb
1413ac3b424
15ae7ac0c9
hex6fb1d3c8

1873925064 has 96 divisors (see below), whose sum is σ = 5721660000. Its totient is φ = 567848160.

The previous prime is 1873925029. The next prime is 1873925083. The reversal of 1873925064 is 4605293781.

1873925064 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1873925064 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9714 + ... + 61985.

It is an arithmetic number, because the mean of its divisors is an integer number (59600625).

It is a 1-persistent number, because it is pandigital, but 2⋅1873925064 = 3747850128 is not.

Almost surely, 21873925064 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 1873925064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860830000).

1873925064 is an abundant number, since it is smaller than the sum of its proper divisors (3847734936).

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

1873925064 is a wasteful number, since it uses less digits than its factorization.

1873925064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71736 (or 71715 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1873925064 is about 43288.8561179433. The cubic root of 1873925064 is about 1232.8703458841.

The spelling of 1873925064 in words is "one billion, eight hundred seventy-three million, nine hundred twenty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4356 6534 8712 13068 26136 71699 143398 215097 286796 430194 573592 645291 788689 860388 1290582 1577378 1720776 1935873 2366067 2581164 3154756 3871746 4732134 5162328 6309512 7098201 7743492 8675579 9464268 14196402 15486984 17351158 18928536 21294603 26026737 28392804 34702316 42589206 52053474 56785608 69404632 78080211 85178412 104106948 156160422 170356824 208213896 234240633 312320844 468481266 624641688 936962532 1873925064