Search a number
-
+
125038464 = 273595519
BaseRepresentation
bin1110111001111…
…10111110000000
322201021121112020
413130332332000
5224002212324
620224001440
73045544425
oct734767600
9281247466
10125038464
1164643281
1235a60280
131cb9c375
141286bd4c
15ae9d679
hex773ef80

125038464 has 64 divisors (see below), whose sum is σ = 337824000. Its totient is φ = 40965632.

The previous prime is 125038457. The next prime is 125038477. The reversal of 125038464 is 464830521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19897 + ... + 25415.

It is an arithmetic number, because the mean of its divisors is an integer number (5278500).

Almost surely, 2125038464 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 125038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168912000).

125038464 is an abundant number, since it is smaller than the sum of its proper divisors (212785536).

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

125038464 is an equidigital number, since it uses as much as digits as its factorization.

125038464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5595 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 125038464 is about 11182.0599175644. The cubic root of 125038464 is about 500.0512800739.

Adding to 125038464 its reverse (464830521), we get a palindrome (589868985).

The spelling of 125038464 in words is "one hundred twenty-five million, thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 944 1416 1888 2832 3776 5519 5664 7552 11038 11328 16557 22076 22656 33114 44152 66228 88304 132456 176608 264912 325621 353216 529824 651242 706432 976863 1059648 1302484 1953726 2119296 2604968 3907452 5209936 7814904 10419872 15629808 20839744 31259616 41679488 62519232 125038464