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4922280 = 23325112113
BaseRepresentation
bin10010110001101110101000
3100021002002200
4102301232220
52230003110
6253300200
756560446
oct22615650
910232080
104922280
112862200
121794660
1310345bc
14921b96
156736c0
hex4b1ba8

4922280 has 144 divisors (see below), whose sum is σ = 17739540. Its totient is φ = 1182720.

The previous prime is 4922251. The next prime is 4922287. The reversal of 4922280 is 822294.

It can be written as a sum of positive squares in 2 ways, for example, as 4186116 + 736164 = 2046^2 + 858^2 .

It is not an unprimeable number, because it can be changed into a prime (4922287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43504 + ... + 43616.

Almost surely, 24922280 is an apocalyptic number.

4922280 is a gapful number since it is divisible by the number (40) 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 4922280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869770).

4922280 is an abundant number, since it is smaller than the sum of its proper divisors (12817260).

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

4922280 is a wasteful number, since it uses less digits than its factorization.

4922280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

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

The square root of 4922280 is about 2218.6211934443. The cubic root of 4922280 is about 170.1069684340.

It can be divided in two parts, 492 and 2280, that added together give a palindrome (2772).

The spelling of 4922280 in words is "four million, nine hundred twenty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 113 120 121 132 165 180 198 220 226 242 264 330 339 360 363 396 440 452 484 495 565 605 660 678 726 792 904 968 990 1017 1089 1130 1210 1243 1320 1356 1452 1695 1815 1980 2034 2178 2260 2420 2486 2712 2904 3390 3630 3729 3960 4068 4356 4520 4840 4972 5085 5445 6215 6780 7260 7458 8136 8712 9944 10170 10890 11187 12430 13560 13673 14520 14916 18645 20340 21780 22374 24860 27346 29832 37290 40680 41019 43560 44748 49720 54692 55935 68365 74580 82038 89496 109384 111870 123057 136730 149160 164076 205095 223740 246114 273460 328152 410190 447480 492228 546920 615285 820380 984456 1230570 1640760 2461140 4922280