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4922964 = 223379577
BaseRepresentation
bin10010110001111001010100
3100021010001000
4102301321110
52230013324
6253303300
756562444
oct22617124
910233030
104922964
112862772
121794b30
1310349c7
14922124
156739c9
hex4b1e54

4922964 has 48 divisors (see below), whose sum is σ = 12947200. Its totient is φ = 1617408.

The previous prime is 4922933. The next prime is 4922971. The reversal of 4922964 is 4692294.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 8244 + ... + 8820.

Almost surely, 24922964 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 4922964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473600).

4922964 is an abundant number, since it is smaller than the sum of its proper divisors (8024236).

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

4922964 is a wasteful number, since it uses less digits than its factorization.

4922964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 4922964 is about 2218.7753378835. The cubic root of 4922964 is about 170.1148474235.

It can be divided in two parts, 4922 and 964, that added together give a triangular number (5886 = T108).

The spelling of 4922964 in words is "four million, nine hundred twenty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 577 711 948 1154 1422 1731 2133 2308 2844 3462 4266 5193 6924 8532 10386 15579 20772 31158 45583 62316 91166 136749 182332 273498 410247 546996 820494 1230741 1640988 2461482 4922964