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4892140 = 2251137601
BaseRepresentation
bin10010101010010111101100
3100012112202101
4102222113230
52223022030
6252504444
756403541
oct22522754
910175671
104892140
1128415a0
12177b124
131023976
14914bc8
156697ca
hex4aa5ec

4892140 has 48 divisors (see below), whose sum is σ = 11529504. Its totient is φ = 1728000.

The previous prime is 4892099. The next prime is 4892149. The reversal of 4892140 is 412984.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4892099 and 4892108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4892149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7840 + ... + 8440.

It is an arithmetic number, because the mean of its divisors is an integer number (240198).

Almost surely, 24892140 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 4892140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5764752).

4892140 is an abundant number, since it is smaller than the sum of its proper divisors (6637364).

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

4892140 is a wasteful number, since it uses less digits than its factorization.

4892140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 4892140 is about 2211.8182565482. The cubic root of 4892140 is about 169.7590589061.

The spelling of 4892140 in words is "four million, eight hundred ninety-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 601 740 814 1202 1628 2035 2404 3005 4070 6010 6611 8140 12020 13222 22237 26444 33055 44474 66110 88948 111185 132220 222370 244607 444740 489214 978428 1223035 2446070 4892140