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445913424 = 243411311009
BaseRepresentation
bin11010100101000…
…001100101010000
31011002001202020000
4122211001211100
51403123212144
6112125250000
714023126065
oct3245014520
91132052200
10445913424
112097853a0
12105403900
13714c88c8
1443316c6c
1529232769
hex1a941950

445913424 has 200 divisors, whose sum is σ = 1454787840. Its totient is φ = 130636800.

The previous prime is 445913411. The next prime is 445913437. The reversal of 445913424 is 424319544.

445913424 is a `hidden beast` number, since 44 + 591 + 3 + 4 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (445913411) and next prime (445913437).

It is a super-4 number, since 4×4459134244 (a number of 36 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 441432 + ... + 442440.

Almost surely, 2445913424 is an apocalyptic number.

445913424 is a gapful number since it is divisible by the number (44) 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 445913424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727393920).

445913424 is an abundant number, since it is smaller than the sum of its proper divisors (1008874416).

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

445913424 is a wasteful number, since it uses less digits than its factorization.

445913424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1056 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 445913424 is about 21116.6622362532. The cubic root of 445913424 is about 763.9826846582.

The spelling of 445913424 in words is "four hundred forty-five million, nine hundred thirteen thousand, four hundred twenty-four".