Search a number
-
+
421145536 = 2671396763
BaseRepresentation
bin11001000110100…
…010101111000000
31002100110102001211
4121012202233000
51330303124121
6105442335504
713302451360
oct3106425700
91070412054
10421145536
111a67a8969
12b905a594
1369336256
143dd0a9a0
1526e8dce1
hex191a2bc0

421145536 has 56 divisors (see below), whose sum is σ = 962111360. Its totient is φ = 179165952.

The previous prime is 421145531. The next prime is 421145561. The reversal of 421145536 is 635541124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 421145498 and 421145507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421145531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58891 + ... + 65653.

It is an arithmetic number, because the mean of its divisors is an integer number (17180560).

Almost surely, 2421145536 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 421145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481055680).

421145536 is an abundant number, since it is smaller than the sum of its proper divisors (540965824).

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

421145536 is a wasteful number, since it uses less digits than its factorization.

421145536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6921 (or 6911 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 421145536 is about 20521.8307175554. The cubic root of 421145536 is about 749.5674756486.

The spelling of 421145536 in words is "four hundred twenty-one million, one hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 139 224 278 448 556 973 1112 1946 2224 3892 4448 6763 7784 8896 13526 15568 27052 31136 47341 54104 62272 94682 108208 189364 216416 378728 432832 757456 940057 1514912 1880114 3029824 3760228 6580399 7520456 13160798 15040912 26321596 30081824 52643192 60163648 105286384 210572768 421145536