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42482906900 = 2252728669981
BaseRepresentation
bin100111100100001011…
…011011011100010100
311001122201002021110022
4213210023123130110
51144001111010100
631303312044312
73032523515300
oct474413333424
9131581067408
1042482906900
1117020547815
128297533698
1340105a8745
1420b024cd00
151189987e85
hex9e42db714

42482906900 has 54 divisors (see below), whose sum is σ = 107239007358. Its totient is φ = 14565566400.

The previous prime is 42482906849. The next prime is 42482906909. The reversal of 42482906900 is 960928424.

It is a happy number.

42482906900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 278956804 + 42203950096 = 16702^2 + 205436^2 .

It is a super-2 number, since 2×424829069002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42482906909) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4330091 + ... + 4339890.

Almost surely, 242482906900 is an apocalyptic number.

It is an amenable number.

42482906900 is an abundant number, since it is smaller than the sum of its proper divisors (64756100458).

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

42482906900 is a wasteful number, since it uses less digits than its factorization.

42482906900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8670009 (or 8669995 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 42482906900 in words is "forty-two billion, four hundred eighty-two million, nine hundred six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 8669981 17339962 34679924 43349905 60689867 86699810 121379734 173399620 216749525 242759468 303449335 424829069 433499050 606898670 849658138 866998100 1213797340 1517246675 1699316276 2124145345 3034493350 4248290690 6068986700 8496581380 10620726725 21241453450 42482906900