35052948 has 72 divisors (see below), whose sum is σ = 106608320. Its totient is φ = 9486720.

The previous prime is 35052947. The next prime is 35052961. The reversal of 35052948 is 84925053.

35052948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (35052947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1128 + ... + 8448.

Almost surely, 2^35052948 is an apocalyptic number.

35052948 is a gapful number since it is divisible by the number (38) 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 35052948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53304160).

35052948 is an abundant number, since it is smaller than the sum of its proper divisors (71555372).

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

35052948 is a wasteful number, since it uses less digits than its factorization.

35052948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7357 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 35052948 is about 5920.5530147107. The cubic root of 35052948 is about 327.2714968809.

The spelling of 35052948 in words is "thirty-five million, fifty-two thousand, nine hundred forty-eight".