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5034260440 = 23511411791559
BaseRepresentation
bin1001011000001000…
…01011011111011000
3110222211211221001101
410230010023133120
540302232313230
62151313401144
7235516336066
oct45404133730
913884757041
105034260440
112153788420
12b85b691b4
13622c95b41
1435a85d036
151e6e72aca
hex12c10b7d8

5034260440 has 128 divisors (see below), whose sum is σ = 12737088000. Its totient is φ = 1774873600.

The previous prime is 5034260437. The next prime is 5034260453. The reversal of 5034260440 is 440624305.

It is a junction number, because it is equal to n+sod(n) for n = 5034260399 and 5034260408.

It is a congruent number.

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, 3228381 + ... + 3229939.

It is an arithmetic number, because the mean of its divisors is an integer number (99508500).

Almost surely, 25034260440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5034260440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368544000).

5034260440 is an abundant number, since it is smaller than the sum of its proper divisors (7702827560).

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

5034260440 is a wasteful number, since it uses less digits than its factorization.

5034260440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 5034260440 is about 70952.5224357810. The cubic root of 5034260440 is about 1713.8726951166.

Adding to 5034260440 its reverse (440624305), we get a palindrome (5474884745).

The spelling of 5034260440 in words is "five billion, thirty-four million, two hundred sixty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 179 205 220 328 358 410 440 451 716 820 895 902 1432 1559 1640 1790 1804 1969 2255 3118 3580 3608 3938 4510 6236 7160 7339 7795 7876 9020 9845 12472 14678 15590 15752 17149 18040 19690 29356 31180 34298 36695 39380 58712 62360 63919 68596 73390 78760 80729 85745 127838 137192 146780 161458 171490 255676 279061 293560 319595 322916 342980 403645 511352 558122 639190 645832 685960 703109 807290 1116244 1278380 1395305 1406218 1614580 2232488 2556760 2790610 2812436 3069671 3229160 3515545 5581220 5624872 6139342 7031090 11162440 11441501 12278684 14062180 15348355 22883002 24557368 28124360 30696710 45766004 57207505 61393420 91532008 114415010 122786840 125856511 228830020 251713022 457660040 503426044 629282555 1006852088 1258565110 2517130220 5034260440