Search a number
-
+
425377160 = 235133722109
BaseRepresentation
bin11001010110101…
…011110110001000
31002122102101202122
4121112223312020
51332344032120
6110113150412
713353434435
oct3126536610
91078371678
10425377160
111a912917a
12ba55b408
136a188380
14406ccb8c
1527527a25
hex195abd88

425377160 has 64 divisors (see below), whose sum is σ = 1058626800. Its totient is φ = 152810496.

The previous prime is 425377103. The next prime is 425377189. The reversal of 425377160 is 61773524.

It can be written as a sum of positive squares in 8 ways, for example, as 109035364 + 316341796 = 10442^2 + 17786^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 425377160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8186 + ... + 30294.

Almost surely, 2425377160 is an apocalyptic number.

425377160 is a gapful number since it is divisible by the number (40) 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 425377160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529313400).

425377160 is an abundant number, since it is smaller than the sum of its proper divisors (633249640).

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

425377160 is a wasteful number, since it uses less digits than its factorization.

425377160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22170 (or 22166 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 425377160 is about 20624.6735731744. The cubic root of 425377160 is about 752.0696376208.

The spelling of 425377160 in words is "four hundred twenty-five million, three hundred seventy-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 9620 19240 22109 44218 88436 110545 176872 221090 287417 442180 574834 818033 884360 1149668 1437085 1636066 2299336 2874170 3272132 4090165 5748340 6544264 8180330 10634429 11496680 16360660 21268858 32721320 42537716 53172145 85075432 106344290 212688580 425377160