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4626240 = 26356179
BaseRepresentation
bin10001101001011101000000
322201001000020
4101221131000
52141014430
6243053440
754215403
oct21513500
98631006
104626240
11267a843
121671280
13c5c928
14885d3a
15615b10
hex469740

4626240 has 112 divisors (see below), whose sum is σ = 15118080. Its totient is φ = 1198080.

The previous prime is 4626239. The next prime is 4626247. The reversal of 4626240 is 426264.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 47 + 66 + 219 + 68 + 221 + 49 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 4626240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4626247) 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, 58521 + ... + 58599.

Almost surely, 24626240 is an apocalyptic number.

4626240 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 4626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559040).

4626240 is an abundant number, since it is smaller than the sum of its proper divisors (10491840).

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

4626240 is a wasteful number, since it uses less digits than its factorization.

4626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4626240 is about 2150.8695915838. The cubic root of 4626240 is about 166.6259811801.

Adding to 4626240 its sum of digits (24), we get a palindrome (4626264).

The spelling of 4626240 in words is "four million, six hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 79 80 96 120 122 158 160 183 192 237 240 244 305 316 320 366 395 474 480 488 610 632 732 790 915 948 960 976 1185 1220 1264 1464 1580 1830 1896 1952 2370 2440 2528 2928 3160 3660 3792 3904 4740 4819 4880 5056 5856 6320 7320 7584 9480 9638 9760 11712 12640 14457 14640 15168 18960 19276 19520 24095 25280 28914 29280 37920 38552 48190 57828 58560 72285 75840 77104 96380 115656 144570 154208 192760 231312 289140 308416 385520 462624 578280 771040 925248 1156560 1542080 2313120 4626240