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2040433024 = 27717971381
BaseRepresentation
bin111100110011110…
…1000100110000000
312021012102201220111
41321213220212000
513134322324044
6534245321104
7101364252220
oct17147504600
95235381814
102040433024
11957853593
1248b406194
13266963026
14154dc2080
15be1ecb34
hex799e8980

2040433024 has 128 divisors (see below), whose sum is σ = 4973209920. Its totient is φ = 813957120.

The previous prime is 2040433013. The next prime is 2040433027. The reversal of 2040433024 is 4203340402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2040432986 and 2040433004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040433027) 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, 1476814 + ... + 1478194.

Almost surely, 22040433024 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 2040433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486604960).

2040433024 is an abundant number, since it is smaller than the sum of its proper divisors (2932776896).

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

2040433024 is a wasteful number, since it uses less digits than its factorization.

2040433024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2040433024 is about 45171.1525644409. The cubic root of 2040433024 is about 1268.3548715330.

Adding to 2040433024 its reverse (4203340402), we get a palindrome (6243773426).

The spelling of 2040433024 in words is "two billion, forty million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 97 112 119 128 136 194 224 238 272 388 448 476 544 679 776 896 952 1088 1358 1381 1552 1649 1904 2176 2716 2762 3104 3298 3808 5432 5524 6208 6596 7616 9667 10864 11048 11543 12416 13192 15232 19334 21728 22096 23086 23477 26384 38668 43456 44192 46172 46954 52768 77336 86912 88384 92344 93908 105536 133957 154672 164339 176768 184688 187816 211072 267914 309344 328678 369376 375632 535828 618688 657356 738752 751264 937699 1071656 1237376 1314712 1477504 1502528 1875398 2143312 2277269 2629424 3005056 3750796 4286624 4554538 5258848 7501592 8573248 9109076 10517696 15003184 15940883 17146496 18218152 21035392 30006368 31881766 36436304 60012736 63763532 72872608 120025472 127527064 145745216 255054128 291490432 510108256 1020216512 2040433024