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4325414240 = 25572896199
BaseRepresentation
bin1000000011101000…
…01001010101100000
3102011110000210212102
410001310021111200
532324301223430
61553112345532
7212121262100
oct40164112540
912143023772
104325414240
11191a646814
12a086a52a8
1353c17a114
142d0661200
151a4b04345
hex101d09560

4325414240 has 144 divisors (see below), whose sum is σ = 12022668000. Its totient is φ = 1466099712.

The previous prime is 4325414237. The next prime is 4325414251. The reversal of 4325414240 is 424145234.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 694661 + ... + 700859.

It is an arithmetic number, because the mean of its divisors is an integer number (83490750).

Almost surely, 24325414240 is an apocalyptic number.

4325414240 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 4325414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011334000).

4325414240 is an abundant number, since it is smaller than the sum of its proper divisors (7697253760).

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

4325414240 is a wasteful number, since it uses less digits than its factorization.

4325414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 4325414240 is about 65767.8815228224. The cubic root of 4325414240 is about 1629.3306798187.

Adding to 4325414240 its reverse (424145234), we get a palindrome (4749559474).

The spelling of 4325414240 in words is "four billion, three hundred twenty-five million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 89 98 112 140 160 178 196 224 245 280 356 392 445 490 560 623 712 784 890 980 1120 1246 1424 1568 1780 1960 2492 2848 3115 3560 3920 4361 4984 6199 6230 7120 7840 8722 9968 12398 12460 14240 17444 19936 21805 24796 24920 30995 34888 43393 43610 49592 49840 61990 69776 86786 87220 99184 99680 123980 139552 173572 174440 198368 216965 247960 303751 347144 348880 433930 495920 551711 607502 694288 697760 867860 991840 1103422 1215004 1388576 1518755 1735720 2206844 2430008 2758555 3037510 3471440 3861977 4413688 4860016 5517110 6075020 6942880 7723954 8827376 9720032 11034220 12150040 15447908 17654752 19309885 22068440 24300080 27033839 30895816 38619770 44136880 48600160 54067678 61791632 77239540 88273760 108135356 123583264 135169195 154479080 216270712 270338390 308958160 432541424 540676780 617916320 865082848 1081353560 2162707120 4325414240