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4190905344 = 21033736871
BaseRepresentation
bin1111100111001100…
…0010010000000000
3101211001221001100110
43321303002100000
532040332432334
61531505351320
7205566051633
oct37163022000
911731831313
104190905344
11186072523a
1298b638540
1351a343262
142ba849c1a
15197dd4ae9
hexf9cc2400

4190905344 has 88 divisors (see below), whose sum is σ = 11472501568. Its totient is φ = 1359175680.

The previous prime is 4190905343. The next prime is 4190905351. The reversal of 4190905344 is 4435090914.

It is not an unprimeable number, because it can be changed into a prime (4190905343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95229 + ... + 132099.

It is an arithmetic number, because the mean of its divisors is an integer number (130369336).

Almost surely, 24190905344 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 4190905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736250784).

4190905344 is an abundant number, since it is smaller than the sum of its proper divisors (7281596224).

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

4190905344 is a wasteful number, since it uses less digits than its factorization.

4190905344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36931 (or 36913 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 4190905344 is about 64737.2021638254. The cubic root of 4190905344 is about 1612.2632347042.

The spelling of 4190905344 in words is "four billion, one hundred ninety million, nine hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2368 3072 3552 4736 7104 9472 14208 18944 28416 36871 37888 56832 73742 110613 113664 147484 221226 294968 442452 589936 884904 1179872 1364227 1769808 2359744 2728454 3539616 4092681 4719488 5456908 7079232 8185362 9438976 10913816 14158464 16370724 18877952 21827632 28316928 32741448 37755904 43655264 56633856 65482896 87310528 113267712 130965792 174621056 261931584 349242112 523863168 698484224 1047726336 1396968448 2095452672 4190905344