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4682270640 = 243550938329
BaseRepresentation
bin1000101110001010…
…11100011110110000
3110002022111222211010
410113011130132300
534042130130030
62052341150520
7224013433545
oct42705343660
913068458733
104682270640
111a93024263
12aa80bb440
13598094058
14325bd4bcc
151c60e46b0
hex11715c7b0

4682270640 has 80 divisors (see below), whose sum is σ = 14543935200. Its totient is φ = 1246119936.

The previous prime is 4682270639. The next prime is 4682270641. The reversal of 4682270640 is 460722864.

It is an interprime number because it is at equal distance from previous prime (4682270639) and next prime (4682270641).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4682270641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102996 + ... + 141324.

It is an arithmetic number, because the mean of its divisors is an integer number (181799190).

Almost surely, 24682270640 is an apocalyptic number.

4682270640 is a gapful number since it is divisible by the number (40) 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 4682270640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7271967600).

4682270640 is an abundant number, since it is smaller than the sum of its proper divisors (9861664560).

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

4682270640 is a wasteful number, since it uses less digits than its factorization.

4682270640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38854 (or 38848 counting only the distinct ones).

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

The square root of 4682270640 is about 68427.1191853055. The cubic root of 4682270640 is about 1672.9597959181.

The spelling of 4682270640 in words is "four billion, six hundred eighty-two million, two hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 509 1018 1527 2036 2545 3054 4072 5090 6108 7635 8144 10180 12216 15270 20360 24432 30540 38329 40720 61080 76658 114987 122160 153316 191645 229974 306632 383290 459948 574935 613264 766580 919896 1149870 1533160 1839792 2299740 3066320 4599480 9198960 19509461 39018922 58528383 78037844 97547305 117056766 156075688 195094610 234113532 292641915 312151376 390189220 468227064 585283830 780378440 936454128 1170567660 1560756880 2341135320 4682270640