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4972224 = 263192947
BaseRepresentation
bin10010111101111011000000
3100100121121110
4102331323000
52233102344
6254323320
760156165
oct22757300
910317543
104972224
112896784
1217b9540
13105125a
1493606c
156833b9
hex4bdec0

4972224 has 112 divisors (see below), whose sum is σ = 14630400. Its totient is φ = 1483776.

The previous prime is 4972223. The next prime is 4972229. The reversal of 4972224 is 4222794.

It is a junction number, because it is equal to n+sod(n) for n = 4972191 and 4972200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4972223) 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, 105769 + ... + 105815.

Almost surely, 24972224 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 4972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315200).

4972224 is an abundant number, since it is smaller than the sum of its proper divisors (9658176).

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

4972224 is a wasteful number, since it uses less digits than its factorization.

4972224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 4972224 is about 2229.8484253420. The cubic root of 4972224 is about 170.6803645690.

The spelling of 4972224 in words is "four million, nine hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 47 48 57 58 64 76 87 94 96 114 116 141 152 174 188 192 228 232 282 304 348 376 456 464 551 564 608 696 752 893 912 928 1102 1128 1216 1363 1392 1504 1653 1786 1824 1856 2204 2256 2679 2726 2784 3008 3306 3572 3648 4089 4408 4512 5358 5452 5568 6612 7144 8178 8816 9024 10716 10904 13224 14288 16356 17632 21432 21808 25897 26448 28576 32712 35264 42864 43616 51794 52896 57152 65424 77691 85728 87232 103588 105792 130848 155382 171456 207176 261696 310764 414352 621528 828704 1243056 1657408 2486112 4972224