45738950 has 48 divisors (see below), whose sum is σ = 91708416. Its totient is φ = 16922400.

The previous prime is 45738937. The next prime is 45738989. The reversal of 45738950 is 5983754.

It is a super-3 number, since 3×45738950³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45738898 and 45738907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35009 + ... + 36291.

It is an arithmetic number, because the mean of its divisors is an integer number (1910592).

Almost surely, 2^45738950 is an apocalyptic number.

45738950 is an abundant number, since it is smaller than the sum of its proper divisors (45969466).

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

45738950 is a wasteful number, since it uses less digits than its factorization.

45738950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 45738950 is about 6763.0577404012. The cubic root of 45738950 is about 357.6257076628.

The spelling of 45738950 in words is "forty-five million, seven hundred thirty-eight thousand, nine hundred fifty".