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5225960430 = 23656071181
BaseRepresentation
bin1001101110111110…
…11101001111101110
3111111012120022000000
410313133131033232
541200321213210
62222322245130
7243334634145
oct46737351756
914435508000
105225960430
112241a11469
12101a1b67a6
136539052a2
143780c075c
15208bdcac0
hex1377dd3ee

5225960430 has 112 divisors (see below), whose sum is σ = 14138838144. Its totient is φ = 1390115520.

The previous prime is 5225960423. The next prime is 5225960447. The reversal of 5225960430 is 340695225.

5225960430 is a `hidden beast` number, since 5 + 22 + 596 + 0 + 43 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4424440 + ... + 4425620.

Almost surely, 25225960430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5225960430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7069419072).

5225960430 is an abundant number, since it is smaller than the sum of its proper divisors (8912877714).

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

5225960430 is a wasteful number, since it uses less digits than its factorization.

5225960430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5225960430 is about 72290.8046019686. The cubic root of 5225960430 is about 1735.3564953292.

The spelling of 5225960430 in words is "five billion, two hundred twenty-five million, nine hundred sixty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 607 729 810 1181 1214 1215 1458 1821 2362 2430 3035 3543 3642 3645 5463 5905 6070 7086 7290 9105 10629 10926 11810 16389 17715 18210 21258 27315 31887 32778 35430 49167 53145 54630 63774 81945 95661 98334 106290 147501 159435 163890 191322 245835 286983 295002 318870 442503 478305 491670 573966 716867 737505 860949 885006 956610 1433734 1434915 1475010 1721898 2150601 2212515 2869830 3584335 4301202 4304745 4425030 6451803 7168670 8609490 10753005 12903606 19355409 21506010 32259015 38710818 58066227 64518030 96777045 116132454 174198681 193554090 290331135 348397362 522596043 580662270 870993405 1045192086 1741986810 2612980215 5225960430