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46972432 = 2413225829
BaseRepresentation
bin1011001100101…
…1111000010000
310021101110001201
42303023320100
544011104212
64354440544
71110154603
oct263137020
9107343051
1046972432
11245730a1
1213893154
139968350
14634a33a
1541ccb57
hex2ccbe10

46972432 has 20 divisors (see below), whose sum is σ = 98010220. Its totient is φ = 21679488.

The previous prime is 46972421. The next prime is 46972459. The reversal of 46972432 is 23427964.

It can be written as a sum of positive squares in 2 ways, for example, as 23001616 + 23970816 = 4796^2 + 4896^2 .

It is a super-4 number, since 4×469724324 (a number of 32 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46972391 and 46972400.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112707 + ... + 113122.

It is an arithmetic number, because the mean of its divisors is an integer number (4900511).

Almost surely, 246972432 is an apocalyptic number.

It is an amenable number.

46972432 is an abundant number, since it is smaller than the sum of its proper divisors (51037788).

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

46972432 is a wasteful number, since it uses less digits than its factorization.

46972432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225850 (or 225844 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 46972432 is about 6853.6437024403. The cubic root of 46972432 is about 360.8120352654.

The spelling of 46972432 in words is "forty-six million, nine hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 225829 451658 903316 1806632 2935777 3613264 5871554 11743108 23486216 46972432