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4920048 = 243371627
BaseRepresentation
bin10010110001001011110000
3100020222001000
4102301023300
52224420143
6253242000
756551110
oct22611360
910228030
104920048
112860561
121793300
131033593
14921040
15672bd3
hex4b12f0

4920048 has 80 divisors (see below), whose sum is σ = 16149760. Its totient is φ = 1404864.

The previous prime is 4920023. The next prime is 4920059. The reversal of 4920048 is 8400294.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211 + ... + 3837.

It is an arithmetic number, because the mean of its divisors is an integer number (201872).

Almost surely, 24920048 is an apocalyptic number.

4920048 is a gapful number since it is divisible by the number (48) 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 4920048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8074880).

4920048 is an abundant number, since it is smaller than the sum of its proper divisors (11229712).

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

4920048 is a wasteful number, since it uses less digits than its factorization.

4920048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4920048 is about 2218.1181212911. The cubic root of 4920048 is about 170.0812529691.

The spelling of 4920048 in words is "four million, nine hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1627 3024 3254 4881 6508 9762 11389 13016 14643 19524 22778 26032 29286 34167 39048 43929 45556 58572 68334 78096 87858 91112 102501 117144 136668 175716 182224 205002 234288 273336 307503 351432 410004 546672 615006 702864 820008 1230012 1640016 2460024 4920048