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4626440 = 2357133141
BaseRepresentation
bin10001101001100000001000
322201001021122
4101221200020
52141021230
6243054412
754216110
oct21514010
98631248
104626440
11267aa05
121671408
13c5ca50
14886040
15615be5
hex469808

4626440 has 128 divisors (see below), whose sum is σ = 13547520. Its totient is φ = 1382400.

The previous prime is 4626439. The next prime is 4626449. The reversal of 4626440 is 446264.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (4626449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112820 + ... + 112860.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 24626440 is an apocalyptic number.

4626440 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 4626440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

4626440 is an abundant number, since it is smaller than the sum of its proper divisors (8921080).

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

4626440 is a wasteful number, since it uses less digits than its factorization.

4626440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 4626440 is about 2150.9160839047. The cubic root of 4626440 is about 166.6283823176.

The spelling of 4626440 in words is "four million, six hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 31 35 40 41 52 56 62 65 70 82 91 104 124 130 140 155 164 182 205 217 248 260 280 287 310 328 364 403 410 434 455 520 533 574 620 728 806 820 868 910 1066 1085 1148 1240 1271 1435 1612 1640 1736 1820 2015 2132 2170 2296 2542 2665 2821 2870 3224 3640 3731 4030 4264 4340 5084 5330 5642 5740 6355 7462 8060 8680 8897 10168 10660 11284 11480 12710 14105 14924 16120 16523 17794 18655 21320 22568 25420 28210 29848 33046 35588 37310 44485 50840 56420 66092 71176 74620 82615 88970 112840 115661 132184 149240 165230 177940 231322 330460 355880 462644 578305 660920 925288 1156610 2313220 4626440