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2042448120 = 2332554110487
BaseRepresentation
bin111100110111101…
…0100100011111000
312021100020010002200
41321233110203320
513140331314440
6534400430200
7101420344146
oct17157244370
95240203080
102042448120
119589aa559
12490018360
132671ba2ab
14155388596
15be499c30
hex79bd48f8

2042448120 has 96 divisors (see below), whose sum is σ = 6650860320. Its totient is φ = 543594240.

The previous prime is 2042448103. The next prime is 2042448127. The reversal of 2042448120 is 218442402.

2042448120 is a `hidden beast` number, since 204 + 2 + 448 + 12 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042448127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189517 + ... + 200003.

It is an arithmetic number, because the mean of its divisors is an integer number (69279795).

Almost surely, 22042448120 is an apocalyptic number.

2042448120 is a gapful number since it is divisible by the number (20) 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 2042448120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325430160).

2042448120 is an abundant number, since it is smaller than the sum of its proper divisors (4608412200).

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

2042448120 is a wasteful number, since it uses less digits than its factorization.

2042448120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11045 (or 11038 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2042448120 is about 45193.4521805980. The cubic root of 2042448120 is about 1268.7722691943.

The spelling of 2042448120 in words is "two billion, forty-two million, four hundred forty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 541 1082 1623 2164 2705 3246 4328 4869 5410 6492 8115 9738 10487 10820 12984 16230 19476 20974 21640 24345 31461 32460 38952 41948 48690 52435 62922 64920 83896 94383 97380 104870 125844 157305 188766 194760 209740 251688 314610 377532 419480 471915 629220 755064 943830 1258440 1887660 3775320 5673467 11346934 17020401 22693868 28367335 34040802 45387736 51061203 56734670 68081604 85102005 102122406 113469340 136163208 170204010 204244812 226938680 255306015 340408020 408489624 510612030 680816040 1021224060 2042448120