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4426399872 = 27341313259
BaseRepresentation
bin1000001111101010…
…11000000010000000
3102102111001102010000
410013311120002000
533031124243442
62011121040000
7214455530616
oct40765300200
912374042100
104426399872
111971650814
12a36486000
1355707742b
142ddc2b6b6
151ad900d4c
hex107d58080

4426399872 has 160 divisors (see below), whose sum is σ = 13277523600. Its totient is φ = 1463754240.

The previous prime is 4426399829. The next prime is 4426399927. The reversal of 4426399872 is 2789936244.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1356579 + ... + 1359837.

Almost surely, 24426399872 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 4426399872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638761800).

4426399872 is an abundant number, since it is smaller than the sum of its proper divisors (8851123728).

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

4426399872 is a wasteful number, since it uses less digits than its factorization.

4426399872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3395 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4426399872 is about 66531.1947284881. The cubic root of 4426399872 is about 1641.9132776485.

The spelling of 4426399872 in words is "four billion, four hundred twenty-six million, three hundred ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 131 144 162 192 216 262 288 324 384 393 432 524 576 648 786 864 1048 1152 1179 1296 1572 1728 2096 2358 2592 3144 3259 3456 3537 4192 4716 5184 6288 6518 7074 8384 9432 9777 10368 10611 12576 13036 14148 16768 18864 19554 21222 25152 26072 28296 29331 37728 39108 42444 50304 52144 56592 58662 75456 78216 84888 87993 104288 113184 117324 150912 156432 169776 175986 208576 226368 234648 263979 312864 339552 351972 417152 426929 452736 469296 527958 625728 679104 703944 853858 938592 1055916 1251456 1280787 1358208 1407888 1707716 1877184 2111832 2561574 2815776 3415432 3754368 3842361 4223664 5123148 5631552 6830864 7684722 8447328 10246296 11263104 11527083 13661728 15369444 16894656 20492592 23054166 27323456 30738888 33789312 34581249 40985184 46108332 54646912 61477776 69162498 81970368 92216664 122955552 138324996 163940736 184433328 245911104 276649992 368866656 491822208 553299984 737733312 1106599968 1475466624 2213199936 4426399872