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4923072 = 263371137
BaseRepresentation
bin10010110001111011000000
3100021010012000
4102301323000
52230014242
6253304000
756562660
oct22617300
910233160
104923072
112862860
121795000
131034a7b
149221a0
15673a4c
hex4b1ec0

4923072 has 224 divisors, whose sum is σ = 18531840. Its totient is φ = 1244160.

The previous prime is 4923067. The next prime is 4923073. The reversal of 4923072 is 2703294.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4923073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133038 + ... + 133074.

Almost surely, 24923072 is an apocalyptic number.

4923072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4923072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9265920).

4923072 is an abundant number, since it is smaller than the sum of its proper divisors (13608768).

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

4923072 is a wasteful number, since it uses less digits than its factorization.

4923072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4923072 is about 2218.7996755002. The cubic root of 4923072 is about 170.1160914078.

The spelling of 4923072 in words is "four million, nine hundred twenty-three thousand, seventy-two".