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4250615936 = 27724091657
BaseRepresentation
bin1111110101011011…
…0100000010000000
3101222020021122212212
43331112310002000
532201124202221
61541441241252
7210222432200
oct37526640200
911866248785
104250615936
1118913a8736
129a7633228
1352981b578
142c4750400
1519d27bb5b
hexfd5b4080

4250615936 has 96 divisors (see below), whose sum is σ = 9880602300. Its totient is φ = 1816141824.

The previous prime is 4250615923. The next prime is 4250615987. The reversal of 4250615936 is 6395160524.

It can be written as a sum of positive squares in 2 ways, for example, as 4154575936 + 96040000 = 64456^2 + 9800^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4250615893 and 4250615902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2564420 + ... + 2566076.

Almost surely, 24250615936 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 4250615936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940301150).

4250615936 is an abundant number, since it is smaller than the sum of its proper divisors (5629986364).

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

4250615936 is a wasteful number, since it uses less digits than its factorization.

4250615936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 4250615936 is about 65196.7478943544. The cubic root of 4250615936 is about 1619.8841475857.

The spelling of 4250615936 in words is "four billion, two hundred fifty million, six hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 409 448 784 818 896 1568 1636 1657 2863 3136 3272 3314 5726 6272 6544 6628 11452 11599 13088 13256 20041 22904 23198 26176 26512 40082 45808 46396 52352 53024 80164 81193 91616 92792 106048 160328 162386 183232 185584 212096 320656 324772 366464 371168 641312 649544 677713 742336 1282624 1299088 1355426 1484672 2565248 2598176 2710852 4743991 5196352 5421704 9487982 10392704 10843408 18975964 21686816 33207937 37951928 43373632 66415874 75903856 86747264 132831748 151807712 265663496 303615424 531326992 607230848 1062653984 2125307968 4250615936