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2007422028 = 223512171697
BaseRepresentation
bin111011110100110…
…1101010001001100
312011220022121100000
41313221231101030
513102400001103
6531110004300
7100513543233
oct16751552114
95156277300
102007422028
11940156977
12480346690
1325cb756b1
1415086bb1a
15bb37baa3
hex77a6d44c

2007422028 has 72 divisors (see below), whose sum is σ = 5269681872. Its totient is φ = 668196864.

The previous prime is 2007422023. The next prime is 2007422059. The reversal of 2007422028 is 8202247002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2007421992 and 2007422010.

It is not an unprimeable number, because it can be changed into a prime (2007422023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1182076 + ... + 1183772.

It is an arithmetic number, because the mean of its divisors is an integer number (73190026).

Almost surely, 22007422028 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 2007422028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634840936).

2007422028 is an abundant number, since it is smaller than the sum of its proper divisors (3262259844).

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

2007422028 is a wasteful number, since it uses less digits than its factorization.

2007422028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2007422028 is about 44804.2635024838. The cubic root of 2007422028 is about 1261.4776541715.

The spelling of 2007422028 in words is "two billion, seven million, four hundred twenty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1217 1697 2434 3394 3651 4868 5091 6788 7302 10182 10953 14604 15273 20364 21906 30546 32859 43812 45819 61092 65718 91638 98577 131436 137457 183276 197154 274914 295731 394308 412371 549828 591462 824742 1182924 1649484 2065249 4130498 6195747 8260996 12391494 18587241 24782988 37174482 55761723 74348964 111523446 167285169 223046892 334570338 501855507 669140676 1003711014 2007422028