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4372038048 = 25378277867
BaseRepresentation
bin1000001001001100…
…00000000110100000
3102021200202112201010
410010212000012200
532423220204143
62001455540520
7213225465420
oct40446000640
912250675633
104372038048
1119439a0994
12a2022a740
13548a22881
142d691a480
151a8c63a33
hex1049801a0

4372038048 has 96 divisors (see below), whose sum is σ = 13133643264. Its totient is φ = 1247484672.

The previous prime is 4372038023. The next prime is 4372038059. The reversal of 4372038048 is 8408302734.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×43720380482 = 38229433386319300608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4372037997 and 4372038015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551811 + ... + 559677.

It is an arithmetic number, because the mean of its divisors is an integer number (136808784).

Almost surely, 24372038048 is an apocalyptic number.

4372038048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4372038048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566821632).

4372038048 is an abundant number, since it is smaller than the sum of its proper divisors (8761605216).

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

4372038048 is a wasteful number, since it uses less digits than its factorization.

4372038048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8714 (or 8706 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4372038048 is about 66121.3887331475. The cubic root of 4372038048 is about 1635.1639768579.

The spelling of 4372038048 in words is "four billion, three hundred seventy-two million, thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 827 1654 2481 3308 4962 5789 6616 7867 9924 11578 13232 15734 17367 19848 23156 23601 26464 31468 34734 39696 46312 47202 55069 62936 69468 79392 92624 94404 110138 125872 138936 165207 185248 188808 220276 251744 277872 330414 377616 440552 555744 660828 755232 881104 1321656 1762208 2643312 5286624 6506009 13012018 19518027 26024036 39036054 45542063 52048072 78072108 91084126 104096144 136626189 156144216 182168252 208192288 273252378 312288432 364336504 546504756 624576864 728673008 1093009512 1457346016 2186019024 4372038048