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46478952 = 2332131723127
BaseRepresentation
bin1011000101001…
…1011001101000
310020110101010200
42301103121220
543344311302
64340112200
71103031102
oct261233150
9106411120
1046478952
1124266363
1213695660
139824850
14625c572
15413181c
hex2c53668

46478952 has 192 divisors, whose sum is σ = 150958080. Its totient is φ = 12773376.

The previous prime is 46478947. The next prime is 46478963. The reversal of 46478952 is 25987464.

It is a happy number.

Its product of digits (483840) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 46478898 and 46478907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365913 + ... + 366039.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 246478952 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 46478952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

46478952 is an abundant number, since it is smaller than the sum of its proper divisors (104479128).

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

46478952 is a wasteful number, since it uses less digits than its factorization.

46478952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 46478952 is about 6817.5473595715. The cubic root of 46478952 is about 359.5440524062.

The spelling of 46478952 in words is "forty-six million, four hundred seventy-eight thousand, nine hundred fifty-two".