Search a number
-
+
36425376 = 2534132347
BaseRepresentation
bin1000101011110…
…0111010100000
32112112121020000
42022330322200
533311103001
63340420000
7621416301
oct212747240
975477200
1036425376
1119619a19
1210247600
1377147a0
144ba27a8
1532e7a86
hex22bcea0

36425376 has 240 divisors, whose sum is σ = 122943744. Its totient is φ = 10492416.

The previous prime is 36425369. The next prime is 36425383. The reversal of 36425376 is 67352463.

36425376 is a `hidden beast` number, since 3 + 642 + 5 + 3 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (36425369) and next prime (36425383).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (90720) is a multiple of the sum of its prime factors (105).

It is a self number, because there is not a number n which added to its sum of digits gives 36425376.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 774985 + ... + 775031.

Almost surely, 236425376 is an apocalyptic number.

36425376 is a gapful number since it is divisible by the number (36) 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 36425376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61471872).

36425376 is an abundant number, since it is smaller than the sum of its proper divisors (86518368).

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

36425376 is a wasteful number, since it uses less digits than its factorization.

36425376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 36425376 is about 6035.3439007235. The cubic root of 36425376 is about 331.4881550199.

The spelling of 36425376 in words is "thirty-six million, four hundred twenty-five thousand, three hundred seventy-six".