Search a number
-
+
4073060352 = 21136431031
BaseRepresentation
bin1111001011000101…
…1111100000000000
3101111212011220102010
43302301133200000
531320200412402
61512055452520
7202635304344
oct36261374000
911455156363
104073060352
111800155589
12958087140
134cbac21aa
142a8d31624
1518c8a7a6c
hexf2c5f800

4073060352 has 96 divisors (see below), whose sum is σ = 10886279040. Its totient is φ = 1354260480.

The previous prime is 4073060287. The next prime is 4073060357. The reversal of 4073060352 is 2530603704.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073060357) 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, 3950077 + ... + 3951107.

It is an arithmetic number, because the mean of its divisors is an integer number (113398740).

Almost surely, 24073060352 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 4073060352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443139520).

4073060352 is an abundant number, since it is smaller than the sum of its proper divisors (6813218688).

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

4073060352 is a wasteful number, since it uses less digits than its factorization.

4073060352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 4073060352 is about 63820.5323700766. The cubic root of 4073060352 is about 1597.0074731455.

The spelling of 4073060352 in words is "four billion, seventy-three million, sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 643 768 1024 1031 1286 1536 1929 2048 2062 2572 3072 3093 3858 4124 5144 6144 6186 7716 8248 10288 12372 15432 16496 20576 24744 30864 32992 41152 49488 61728 65984 82304 98976 123456 131968 164608 197952 246912 263936 329216 395904 493824 527872 658432 662933 791808 987648 1055744 1316864 1325866 1583616 1975296 1988799 2111488 2651732 3167232 3950592 3977598 5303464 6334464 7955196 10606928 15910392 21213856 31820784 42427712 63641568 84855424 127283136 169710848 254566272 339421696 509132544 678843392 1018265088 1357686784 2036530176 4073060352