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2031624440 = 235174369481
BaseRepresentation
bin111100100011000…
…0010000011111000
312020120212012210122
41321012002003320
513130043440230
6533332432412
7101226344216
oct17106020370
95216765718
102031624440
1195288756a
12488478708
13264b9a851
14153b6bcb6
15bd55cbe5
hex791820f8

2031624440 has 64 divisors (see below), whose sum is σ = 4952676960. Its totient is φ = 747048960.

The previous prime is 2031624437. The next prime is 2031624479. The reversal of 2031624440 is 444261302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5501 + ... + 63980.

Almost surely, 22031624440 is an apocalyptic number.

2031624440 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 2031624440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476338480).

2031624440 is an abundant number, since it is smaller than the sum of its proper divisors (2921052520).

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

2031624440 is a wasteful number, since it uses less digits than its factorization.

2031624440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69552 (or 69548 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2031624440 is about 45073.5447907084. The cubic root of 2031624440 is about 1266.5270689493.

Adding to 2031624440 its reverse (444261302), we get a palindrome (2475885742).

The spelling of 2031624440 in words is "two billion, thirty-one million, six hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 680 731 860 1462 1720 2924 3655 5848 7310 14620 29240 69481 138962 277924 347405 555848 694810 1181177 1389620 2362354 2779240 2987683 4724708 5905885 5975366 9449416 11811770 11950732 14938415 23623540 23901464 29876830 47247080 50790611 59753660 101581222 119507320 203162444 253953055 406324888 507906110 1015812220 2031624440