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5535948 = 22311172467
BaseRepresentation
bin10101000111100011001100
3101102020220010
4111013203030
52404122243
6314353220
765024535
oct25074314
911366803
105535948
113141270
121a2b810
1311baa12
14a4168c
15745433
hex5478cc

5535948 has 48 divisors (see below), whose sum is σ = 14926464. Its totient is φ = 1578240.

The previous prime is 5535947. The next prime is 5535967. The reversal of 5535948 is 8495355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5535947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011 + ... + 3477.

It is an arithmetic number, because the mean of its divisors is an integer number (310968).

Almost surely, 25535948 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 5535948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463232).

5535948 is an abundant number, since it is smaller than the sum of its proper divisors (9390516).

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

5535948 is a wasteful number, since it uses less digits than its factorization.

5535948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2500 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

The square root of 5535948 is about 2352.8595368190. The cubic root of 5535948 is about 176.9011545519.

It can be divided in two parts, 5535 and 948, that multiplied together give a triangular number (5247180 = T3239).

The spelling of 5535948 in words is "five million, five hundred thirty-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 2467 4934 7401 9868 14802 27137 29604 41939 54274 81411 83878 108548 125817 162822 167756 251634 325644 461329 503268 922658 1383987 1845316 2767974 5535948