35413152 has 48 divisors (see below), whose sum is σ = 93350880. Its totient is φ = 11754752.

The previous prime is 35413141. The next prime is 35413153. The reversal of 35413152 is 25131453.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (35413153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27499 + ... + 28757.

It is an arithmetic number, because the mean of its divisors is an integer number (1944810).

Almost surely, 2^35413152 is an apocalyptic number.

35413152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

35413152 is an abundant number, since it is smaller than the sum of its proper divisors (57937728).

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

35413152 is a wasteful number, since it uses less digits than its factorization.

35413152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1557 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 35413152 is about 5950.8950587286. The cubic root of 35413152 is about 328.3886924844.

The spelling of 35413152 in words is "thirty-five million, four hundred thirteen thousand, one hundred fifty-two".