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4382969616 = 24366132
BaseRepresentation
bin1000001010011111…
…01100111100010000
3102022110022221000000
410011033230330100
532434020011431
62002530130000
7213420425034
oct40517547420
912273287000
104382969616
11194a087a43
12a23a20900
1354b07c45c
142d81641c4
151a9bc29e6
hex1053ecf10

4382969616 has 105 divisors (see below), whose sum is σ = 12752985189. Its totient is φ = 1458606528.

The previous prime is 4382969603. The next prime is 4382969641. The reversal of 4382969616 is 6169692834.

The square root of 4382969616 is 66204.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 4368681216 = 3780^2 + 66096^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7149726 + ... + 7150338.

Almost surely, 24382969616 is an apocalyptic number.

4382969616 is the 66204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4382969616

4382969616 is an abundant number, since it is smaller than the sum of its proper divisors (8370015573).

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

4382969616 is an frugal number, since it uses more digits than its factorization.

4382969616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 618 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The cubic root of 4382969616 is about 1636.5256628653.

The spelling of 4382969616 in words is "four billion, three hundred eighty-two million, nine hundred sixty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 613 648 729 972 1226 1296 1458 1839 1944 2452 2916 3678 3888 4904 5517 5832 7356 9808 11034 11664 14712 16551 22068 29424 33102 44136 49653 66204 88272 99306 132408 148959 198612 264816 297918 375769 397224 446877 595836 751538 794448 893754 1127307 1191672 1503076 1787508 2254614 2383344 3006152 3381921 3575016 4509228 6012304 6763842 7150032 9018456 10145763 13527684 18036912 20291526 27055368 30437289 40583052 54110736 60874578 81166104 91311867 121749156 162332208 182623734 243498312 273935601 365247468 486996624 547871202 730494936 1095742404 1460989872 2191484808 4382969616