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3745639424 = 21023359443
BaseRepresentation
bin1101111101000001…
…1110110000000000
3100200001002012100002
43133100132300000
530132340430144
61415402015132
7161551260362
oct33720366000
910601065302
103745639424
11165235237a
128864a74a8
134790132b7
14277660d32
1516dc7e14e
hexdf41ec00

3745639424 has 88 divisors (see below), whose sum is σ = 7852619520. Its totient is φ = 1782370304.

The previous prime is 3745639421. The next prime is 3745639441. The reversal of 3745639424 is 4249365473.

It is not an unprimeable number, because it can be changed into a prime (3745639421) 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, 8454947 + ... + 8455389.

Almost surely, 23745639424 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 3745639424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926309760).

3745639424 is an abundant number, since it is smaller than the sum of its proper divisors (4106980096).

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

3745639424 is a wasteful number, since it uses less digits than its factorization.

3745639424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 827 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 47.

The square root of 3745639424 is about 61201.6292593588. The cubic root of 3745639424 is about 1553.0138272571.

The spelling of 3745639424 in words is "three billion, seven hundred forty-five million, six hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 359 368 443 512 718 736 886 1024 1436 1472 1772 2872 2944 3544 5744 5888 7088 8257 10189 11488 11776 14176 16514 20378 22976 23552 28352 33028 40756 45952 56704 66056 81512 91904 113408 132112 159037 163024 183808 226816 264224 318074 326048 367616 453632 528448 636148 652096 1056896 1272296 1304192 2113792 2544592 2608384 3657851 4227584 5089184 5216768 7315702 8455168 10178368 10433536 14631404 20356736 29262808 40713472 58525616 81426944 117051232 162853888 234102464 468204928 936409856 1872819712 3745639424