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4123352000 = 26531074817
BaseRepresentation
bin1111010111000101…
…0101101111000000
3101122100210222120202
43311301111233000
531421034231000
61521053424332
7204115625255
oct36561255700
911570728522
104123352000
111826585429
12970a9b0a8
13509350271
142b18a342c
15191edddd5
hexf5c55bc0

4123352000 has 112 divisors (see below), whose sum is σ = 10309055328. Its totient is φ = 1633587200.

The previous prime is 4123351993. The next prime is 4123352021. The reversal of 4123352000 is 2533214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 853592 + ... + 858408.

Almost surely, 24123352000 is an apocalyptic number.

4123352000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154527664).

4123352000 is an abundant number, since it is smaller than the sum of its proper divisors (6185703328).

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

4123352000 is a wasteful number, since it uses less digits than its factorization.

4123352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 4123352000 is about 64213.3319490587. The cubic root of 4123352000 is about 1603.5535601220.

Adding to 4123352000 its reverse (2533214), we get a palindrome (4125885214).

The spelling of 4123352000 in words is "four billion, one hundred twenty-three million, three hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 107 125 160 200 214 250 320 400 428 500 535 800 856 1000 1070 1600 1712 2000 2140 2675 3424 4000 4280 4817 5350 6848 8000 8560 9634 10700 13375 17120 19268 21400 24085 26750 34240 38536 42800 48170 53500 77072 85600 96340 107000 120425 154144 171200 192680 214000 240850 308288 385360 428000 481700 515419 602125 770720 856000 963400 1030838 1204250 1541440 1926800 2061676 2408500 2577095 3853600 4123352 4817000 5154190 7707200 8246704 9634000 10308380 12885475 16493408 19268000 20616760 25770950 32986816 38536000 41233520 51541900 64427375 82467040 103083800 128854750 164934080 206167600 257709500 412335200 515419000 824670400 1030838000 2061676000 4123352000