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3824503040 = 2857142083
BaseRepresentation
bin1110001111110101…
…0100100100000000
3100212112110212212202
43203331110210000
530313033044130
61431300212332
7163526511431
oct34375244400
910775425782
103824503040
111692917816
128a899a0a8
1348c466367
14283d0d488
15175b5b145
hexe3f54900

3824503040 has 72 divisors (see below), whose sum is σ = 9290127168. Its totient is φ = 1508218880.

The previous prime is 3824503021. The next prime is 3824503057. The reversal of 3824503040 is 403054283.

It is a junction number, because it is equal to n+sod(n) for n = 3824502994 and 3824503012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69839 + ... + 111921.

It is an arithmetic number, because the mean of its divisors is an integer number (129029544).

Almost surely, 23824503040 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 3824503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645063584).

3824503040 is an abundant number, since it is smaller than the sum of its proper divisors (5465624128).

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

3824503040 is an equidigital number, since it uses as much as digits as its factorization.

3824503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42175 (or 42161 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 3824503040 is about 61842.5665702839. The cubic root of 3824503040 is about 1563.8376695443.

The spelling of 3824503040 in words is "three billion, eight hundred twenty-four million, five hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 320 355 568 640 710 1136 1280 1420 2272 2840 4544 5680 9088 11360 18176 22720 42083 45440 84166 90880 168332 210415 336664 420830 673328 841660 1346656 1683320 2693312 2987893 3366640 5386624 5975786 6733280 10773248 11951572 13466560 14939465 23903144 26933120 29878930 47806288 53866240 59757860 95612576 119515720 191225152 239031440 382450304 478062880 764900608 956125760 1912251520 3824503040