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4974048 = 253419101
BaseRepresentation
bin10010111110010111100000
3100100201010000
4102332113200
52233132143
6254340000
760164412
oct22762740
910321100
104974048
112898092
1217ba600
131052031
149369b2
15683bd3
hex4be5e0

4974048 has 120 divisors (see below), whose sum is σ = 15550920. Its totient is φ = 1555200.

The previous prime is 4974041. The next prime is 4974071. The reversal of 4974048 is 8404794.

4974048 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4974041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49198 + ... + 49298.

It is an arithmetic number, because the mean of its divisors is an integer number (129591).

Almost surely, 24974048 is an apocalyptic number.

4974048 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 4974048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7775460).

4974048 is an abundant number, since it is smaller than the sum of its proper divisors (10576872).

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

4974048 is a wasteful number, since it uses less digits than its factorization.

4974048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4974048 is about 2230.2573842496. The cubic root of 4974048 is about 170.7012326905.

The spelling of 4974048 in words is "four million, nine hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 101 108 114 144 152 162 171 202 216 228 288 303 304 324 342 404 432 456 513 606 608 648 684 808 864 909 912 1026 1212 1296 1368 1539 1616 1818 1824 1919 2052 2424 2592 2727 2736 3078 3232 3636 3838 4104 4848 5454 5472 5757 6156 7272 7676 8181 8208 9696 10908 11514 12312 14544 15352 16362 16416 17271 21816 23028 24624 29088 30704 32724 34542 43632 46056 49248 51813 61408 65448 69084 87264 92112 103626 130896 138168 155439 184224 207252 261792 276336 310878 414504 552672 621756 829008 1243512 1658016 2487024 4974048