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425705472 = 214322887
BaseRepresentation
bin11001010111111…
…100000000000000
31002200001002010100
4121113330000000
51332440033342
6110124202400
713356302553
oct3127740000
91080032110
10425705472
111a9332905
12ba699400
136a27193a
144077669a
152758ee4c
hex195fc000

425705472 has 90 divisors (see below), whose sum is σ = 1230204248. Its totient is φ = 141852672.

The previous prime is 425705429. The next prime is 425705479. The reversal of 425705472 is 274507524.

It is a happy number.

425705472 is a `hidden beast` number, since 42 + 5 + 70 + 547 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425705479) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 146013 + ... + 148899.

Almost surely, 2425705472 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 425705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615102124).

425705472 is an abundant number, since it is smaller than the sum of its proper divisors (804498776).

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

425705472 is an equidigital number, since it uses as much as digits as its factorization.

425705472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 425705472 is about 20632.6312427669. The cubic root of 425705472 is about 752.2630737943.

The spelling of 425705472 in words is "four hundred twenty-five million, seven hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2887 3072 4096 4608 5774 6144 8192 8661 9216 11548 12288 16384 17322 18432 23096 24576 25983 34644 36864 46192 49152 51966 69288 73728 92384 103932 138576 147456 184768 207864 277152 369536 415728 554304 739072 831456 1108608 1478144 1662912 2217216 2956288 3325824 4434432 5912576 6651648 8868864 11825152 13303296 17737728 23650304 26606592 35475456 47300608 53213184 70950912 106426368 141901824 212852736 425705472