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4252343440 = 245731993659
BaseRepresentation
bin1111110101110101…
…1001110010010000
3101222100112102120111
43331131121302100
532202044442230
61541542251104
7210243215512
oct37535316220
911870472514
104252343440
111892378624
129a8126a94
13529ca4967
142c4a7dbb2
1519d4bd92a
hexfd759c90

4252343440 has 80 divisors (see below), whose sum is σ = 10075248000. Its totient is φ = 1668750336.

The previous prime is 4252343423. The next prime is 4252343441. The reversal of 4252343440 is 443432524.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×42523434402 = 36164849463422067200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4252343441) 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, 1160331 + ... + 1163989.

It is an arithmetic number, because the mean of its divisors is an integer number (125940600).

Almost surely, 24252343440 is an apocalyptic number.

4252343440 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 4252343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037624000).

4252343440 is an abundant number, since it is smaller than the sum of its proper divisors (5822904560).

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

4252343440 is a wasteful number, since it uses less digits than its factorization.

4252343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 31.

The square root of 4252343440 is about 65209.9949394263. The cubic root of 4252343440 is about 1620.1035649891.

Adding to 4252343440 its reverse (443432524), we get a palindrome (4695775964).

The spelling of 4252343440 in words is "four billion, two hundred fifty-two million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 199 292 365 398 584 730 796 995 1168 1460 1592 1990 2920 3184 3659 3980 5840 7318 7960 14527 14636 15920 18295 29054 29272 36590 58108 58544 72635 73180 116216 145270 146360 232432 267107 290540 292720 534214 581080 728141 1068428 1162160 1335535 1456282 2136856 2671070 2912564 3640705 4273712 5342140 5825128 7281410 10684280 11650256 14562820 21368560 29125640 53154293 58251280 106308586 212617172 265771465 425234344 531542930 850468688 1063085860 2126171720 4252343440