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4245212840 = 2351143593803
BaseRepresentation
bin1111110100001000…
…1100111010101000
3101221212010011020012
43331002030322220
532143233302330
61541125351052
7210125466551
oct37502147250
911855104205
104245212840
111889348270
129a5868488
1352867917b
142c3b45328
1519ca60c95
hexfd08cea8

4245212840 has 128 divisors (see below), whose sum is σ = 10845964800. Its totient is φ = 1481867520.

The previous prime is 4245212827. The next prime is 4245212893. The reversal of 4245212840 is 482125424.

4245212840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4245212797 and 4245212806.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1114379 + ... + 1118181.

It is an arithmetic number, because the mean of its divisors is an integer number (84734100).

Almost surely, 24245212840 is an apocalyptic number.

4245212840 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 4245212840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5422982400).

4245212840 is an abundant number, since it is smaller than the sum of its proper divisors (6600751960).

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

4245212840 is a wasteful number, since it uses less digits than its factorization.

4245212840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

The square root of 4245212840 is about 65155.2978659449. The cubic root of 4245212840 is about 1619.1974941067.

The spelling of 4245212840 in words is "four billion, two hundred forty-five million, two hundred twelve thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 59 86 88 110 118 172 215 220 236 295 344 430 440 472 473 590 649 860 946 1180 1298 1720 1892 2360 2365 2537 2596 3245 3784 3803 4730 5074 5192 6490 7606 9460 10148 12685 12980 15212 18920 19015 20296 25370 25960 27907 30424 38030 41833 50740 55814 76060 83666 101480 111628 139535 152120 163529 167332 209165 223256 224377 279070 327058 334664 418330 448754 558140 654116 817645 836660 897508 1116280 1121885 1308232 1635290 1673320 1795016 1798819 2243770 2468147 3270580 3597638 4487540 4936294 6541160 7195276 8975080 8994095 9648211 9872588 12340735 14390552 17988190 19296422 19745176 24681470 35976380 38592844 48241055 49362940 71952760 77185688 96482110 98725880 106130321 192964220 212260642 385928440 424521284 530651605 849042568 1061303210 2122606420 4245212840