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4974336 = 283217127
BaseRepresentation
bin10010111110011100000000
3100100201111200
4102332130000
52233134321
6254341200
760165303
oct22763400
910321450
104974336
112898324
1217ba800
1310521c3
14936b3a
15683d26
hex4be700

4974336 has 108 divisors (see below), whose sum is σ = 15305472. Its totient is φ = 1548288.

The previous prime is 4974329. The next prime is 4974337. The reversal of 4974336 is 6334794.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4974336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4974337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39105 + ... + 39231.

Almost surely, 24974336 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 4974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652736).

4974336 is an abundant number, since it is smaller than the sum of its proper divisors (10331136).

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

4974336 is a wasteful number, since it uses less digits than its factorization.

4974336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 4974336 is about 2230.3219498539. The cubic root of 4974336 is about 170.7045271907.

The spelling of 4974336 in words is "four million, nine hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 127 128 136 144 153 192 204 254 256 272 288 306 381 384 408 508 544 576 612 762 768 816 1016 1088 1143 1152 1224 1524 1632 2032 2159 2176 2286 2304 2448 3048 3264 4064 4318 4352 4572 4896 6096 6477 6528 8128 8636 9144 9792 12192 12954 13056 16256 17272 18288 19431 19584 24384 25908 32512 34544 36576 38862 39168 48768 51816 69088 73152 77724 97536 103632 138176 146304 155448 207264 276352 292608 310896 414528 552704 621792 829056 1243584 1658112 2487168 4974336