[go: up one dir, main page]

Search a number
-
+
32961948 = 2232746829
BaseRepresentation
bin111110110111…
…1010110011100
32022000122021220
41331233112130
531414240243
63134253340
7550112655
oct175572634
968018256
1032961948
1117673888
12b057250
136aa1216
14454052c
152d61783
hex1f6f59c

32961948 has 12 divisors (see below), whose sum is σ = 76911240. Its totient is φ = 10987312.

The previous prime is 32961947. The next prime is 32961949. The reversal of 32961948 is 84916923.

It is an interprime number because it is at equal distance from previous prime (32961947) and next prime (32961949).

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32961947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1373403 + ... + 1373426.

It is an arithmetic number, because the mean of its divisors is an integer number (6409270).

Almost surely, 232961948 is an apocalyptic number.

It is an amenable number.

32961948 is an abundant number, since it is smaller than the sum of its proper divisors (43949292).

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

32961948 is a wasteful number, since it uses less digits than its factorization.

32961948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746836 (or 2746834 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 32961948 is about 5741.2496897453. The cubic root of 32961948 is about 320.6300996267.

The spelling of 32961948 in words is "thirty-two million, nine hundred sixty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 2746829 5493658 8240487 10987316 16480974 32961948