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2042153532 = 22362330449
BaseRepresentation
bin111100110111000…
…1100101000111100
312021022200011000000
41321232030220330
513140242403112
6534350234300
7101415006246
oct17156145074
95238604000
102042153532
119588191a1
1248bab5990
13267116193
1415530d096
15be43c7dc
hex79b8ca3c

2042153532 has 84 divisors (see below), whose sum is σ = 5591350800. Its totient is φ = 651100032.

The previous prime is 2042153527. The next prime is 2042153537. The reversal of 2042153532 is 2353512402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2042153527) and next prime (2042153537).

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 = 2042153496 and 2042153505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042153537) 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 27 ways as a sum of consecutive naturals, for example, 51844 + ... + 82292.

It is an arithmetic number, because the mean of its divisors is an integer number (66563700).

Almost surely, 22042153532 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 2042153532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795675400).

2042153532 is an abundant number, since it is smaller than the sum of its proper divisors (3549197268).

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

2042153532 is a wasteful number, since it uses less digits than its factorization.

2042153532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30494 (or 30477 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2042153532 is about 45190.1928741182. The cubic root of 2042153532 is about 1268.7112667380.

Adding to 2042153532 its reverse (2353512402), we get a palindrome (4395665934).

The spelling of 2042153532 in words is "two billion, forty-two million, one hundred fifty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 729 828 972 1242 1458 1863 2484 2916 3726 5589 7452 11178 16767 22356 30449 33534 60898 67068 91347 121796 182694 274041 365388 548082 700327 822123 1096164 1400654 1644246 2100981 2466369 2801308 3288492 4201962 4932738 6302943 7399107 8403924 9865476 12605886 14798214 18908829 22197321 25211772 29596428 37817658 44394642 56726487 75635316 88789284 113452974 170179461 226905948 340358922 510538383 680717844 1021076766 2042153532