Search a number
-
+
4380947136 = 263219139821
BaseRepresentation
bin1000001010001111…
…11111001011000000
3102022022112011200100
410011013333023000
532433010302021
62002414522400
7213364302426
oct40507771300
912268464610
104380947136
111948a26475
12a23206400
1354a821a17
142d7b99116
151a9923626
hex1051ff2c0

4380947136 has 84 divisors (see below), whose sum is σ = 12623255424. Its totient is φ = 1452633600.

The previous prime is 4380947071. The next prime is 4380947143. The reversal of 4380947136 is 6317490834.

It is a junction number, because it is equal to n+sod(n) for n = 4380947091 and 4380947100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90106 + ... + 129926.

Almost surely, 24380947136 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 4380947136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311627712).

4380947136 is an abundant number, since it is smaller than the sum of its proper divisors (8242308288).

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

4380947136 is a wasteful number, since it uses less digits than its factorization.

4380947136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40030 (or 40017 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4380947136 is about 66188.7236317486. The cubic root of 4380947136 is about 1636.2739043590.

The spelling of 4380947136 in words is "four billion, three hundred eighty million, nine hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 191 192 288 382 573 576 764 1146 1528 1719 2292 3056 3438 4584 6112 6876 9168 12224 13752 18336 27504 36672 39821 55008 79642 110016 119463 159284 238926 318568 358389 477852 637136 716778 955704 1274272 1433556 1911408 2548544 2867112 3822816 5734224 7605811 7645632 11468448 15211622 22817433 22936896 30423244 45634866 60846488 68452299 91269732 121692976 136904598 182539464 243385952 273809196 365078928 486771904 547618392 730157856 1095236784 1460315712 2190473568 4380947136