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2142435152 = 241113936379
BaseRepresentation
bin111111110110010…
…1111011101010000
312112022100222112002
41333230233131100
513341430411102
6552331453132
7104043253424
oct17754573520
95468328462
102142435152
119aa392270
124b95b71a8
13281b27c10
14164774b84
15c814a902
hex7fb2f750

2142435152 has 40 divisors (see below), whose sum is σ = 4876667040. Its totient is φ = 898922880.

The previous prime is 2142435143. The next prime is 2142435179. The reversal of 2142435152 is 2515342412.

It is a congruent number.

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, 465902 + ... + 470477.

It is an arithmetic number, because the mean of its divisors is an integer number (121916676).

Almost surely, 22142435152 is an apocalyptic number.

2142435152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2142435152 is an abundant number, since it is smaller than the sum of its proper divisors (2734231888).

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

2142435152 is a wasteful number, since it uses less digits than its factorization.

2142435152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936411 (or 936405 counting only the distinct ones).

The product of its digits is 9600, while the sum is 29.

The square root of 2142435152 is about 46286.4467420000. The cubic root of 2142435152 is about 1289.1473547493.

Adding to 2142435152 its reverse (2515342412), we get a palindrome (4657777564).

The spelling of 2142435152 in words is "two billion, one hundred forty-two million, four hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 936379 1872758 3745516 7491032 10300169 12172927 14982064 20600338 24345854 41200676 48691708 82401352 97383416 133902197 164802704 194766832 267804394 535608788 1071217576 2142435152