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4426240 = 29571319
BaseRepresentation
bin10000111000101000000000
322022212122211
4100320220000
52113114430
6234511504
752423330
oct20705000
98285584
104426240
112553555
121595594
13bbc8a0
148330c0
155c672a
hex438a00

4426240 has 160 divisors (see below), whose sum is σ = 13749120. Its totient is φ = 1327104.

The previous prime is 4426231. The next prime is 4426249. The reversal of 4426240 is 426244.

It is an interprime number because it is at equal distance from previous prime (4426231) and next prime (4426249).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4426249) 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, 232951 + ... + 232969.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

Almost surely, 24426240 is an apocalyptic number.

4426240 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 4426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874560).

4426240 is an abundant number, since it is smaller than the sum of its proper divisors (9322880).

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

4426240 is a wasteful number, since it uses less digits than its factorization.

4426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4426240 is about 2103.8631134178. The cubic root of 4426240 is about 164.1893509957.

The spelling of 4426240 in words is "four million, four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 19 20 26 28 32 35 38 40 52 56 64 65 70 76 80 91 95 104 112 128 130 133 140 152 160 182 190 208 224 247 256 260 266 280 304 320 364 380 416 448 455 494 512 520 532 560 608 640 665 728 760 832 896 910 988 1040 1064 1120 1216 1235 1280 1330 1456 1520 1664 1729 1792 1820 1976 2080 2128 2240 2432 2470 2560 2660 2912 3040 3328 3458 3584 3640 3952 4160 4256 4480 4864 4940 5320 5824 6080 6656 6916 7280 7904 8320 8512 8645 8960 9728 9880 10640 11648 12160 13832 14560 15808 16640 17024 17290 17920 19760 21280 23296 24320 27664 29120 31616 33280 34048 34580 39520 42560 46592 48640 55328 58240 63232 68096 69160 79040 85120 110656 116480 126464 138320 158080 170240 221312 232960 276640 316160 340480 442624 553280 632320 885248 1106560 2213120 4426240