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122492052 = 22323791961
BaseRepresentation
bin1110100110100…
…01010010010100
322112111020111200
413103101102110
5222324221202
620053232500
73015110454
oct723212224
9275436450
10122492052
1163164101
1235032730
131c4ba307
14123a7d64
15ab48e1c
hex74d1494

122492052 has 36 divisors (see below), whose sum is σ = 318004596. Its totient is φ = 39726720.

The previous prime is 122492047. The next prime is 122492077. The reversal of 122492052 is 250294221.

It is a happy number.

122492052 is a `hidden beast` number, since 122 + 492 + 0 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78216336 + 44275716 = 8844^2 + 6654^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44649 + ... + 47312.

It is an arithmetic number, because the mean of its divisors is an integer number (8833461).

Almost surely, 2122492052 is an apocalyptic number.

122492052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122492052 is an abundant number, since it is smaller than the sum of its proper divisors (195512544).

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

122492052 is a wasteful number, since it uses less digits than its factorization.

122492052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92008 (or 92003 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 122492052 is about 11067.6127507245. The cubic root of 122492052 is about 496.6334529286.

The spelling of 122492052 in words is "one hundred twenty-two million, four hundred ninety-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 91961 183922 275883 367844 551766 827649 1103532 1655298 3310596 3402557 6805114 10207671 13610228 20415342 30623013 40830684 61246026 122492052