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5022402432 = 27389223659
BaseRepresentation
bin1001010110101101…
…11100011110000000
3110222000112110220220
410223112330132000
540241213334212
62150211303040
7235313500455
oct45326743600
913860473826
105022402432
112148019313
12b81baaa80
136206a3678
1435905382c
151e5dce38c
hex12b5bc780

5022402432 has 128 divisors (see below), whose sum is σ = 13571712000. Its totient is φ = 1645400064.

The previous prime is 5022402401. The next prime is 5022402433. The reversal of 5022402432 is 2342042205.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5022402433) 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, 7620919 + ... + 7621577.

It is an arithmetic number, because the mean of its divisors is an integer number (106029000).

Almost surely, 25022402432 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 5022402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785856000).

5022402432 is an abundant number, since it is smaller than the sum of its proper divisors (8549309568).

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

5022402432 is a wasteful number, since it uses less digits than its factorization.

5022402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 5022402432 is about 70868.9101933986. The cubic root of 5022402432 is about 1712.5259833165.

Adding to 5022402432 its reverse (2342042205), we get a palindrome (7364444637).

The spelling of 5022402432 in words is "five billion, twenty-two million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 223 267 356 384 446 534 659 669 712 892 1068 1318 1338 1424 1784 1977 2136 2636 2676 2848 3568 3954 4272 5272 5352 5696 7136 7908 8544 10544 10704 11392 14272 15816 17088 19847 21088 21408 28544 31632 34176 39694 42176 42816 58651 59541 63264 79388 84352 85632 117302 119082 126528 146957 158776 175953 234604 238164 253056 293914 317552 351906 440871 469208 476328 587828 635104 703812 881742 938416 952656 1175656 1270208 1407624 1763484 1876832 1905312 2351312 2540416 2815248 3526968 3753664 3810624 4702624 5630496 7053936 7507328 7621248 9405248 11260992 13079173 14107872 18810496 22521984 26158346 28215744 39237519 52316692 56431488 78475038 104633384 156950076 209266768 313900152 418533536 627800304 837067072 1255600608 1674134144 2511201216 5022402432