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2090944352 = 257231073793
BaseRepresentation
bin111110010100001…
…0100011101100000
312101201110222102102
41330220110131200
513240240204402
6543252105532
7102546506450
oct17450243540
95351428372
102090944352
11983313492
124a43052a8
1327426a0a3
1415b9add60
15c3879102
hex7ca14760

2090944352 has 96 divisors (see below), whose sum is σ = 4956360192. Its totient is φ = 848922624.

The previous prime is 2090944351. The next prime is 2090944411. The reversal of 2090944352 is 2534490902.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090944351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549368 + ... + 553160.

It is an arithmetic number, because the mean of its divisors is an integer number (51628752).

Almost surely, 22090944352 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 2090944352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478180096).

2090944352 is an abundant number, since it is smaller than the sum of its proper divisors (2865415840).

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

2090944352 is a wasteful number, since it uses less digits than its factorization.

2090944352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 2090944352 is about 45726.8449819141. The cubic root of 2090944352 is about 1278.7358026024.

The spelling of 2090944352 in words is "two billion, ninety million, nine hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 107 112 161 184 214 224 322 368 428 644 736 749 856 1288 1498 1712 2461 2576 2996 3424 3793 4922 5152 5992 7586 9844 11984 15172 17227 19688 23968 26551 30344 34454 39376 53102 60688 68908 78752 87239 106204 121376 137816 174478 212408 275632 348956 405851 424816 551264 610673 697912 811702 849632 1221346 1395824 1623404 2442692 2791648 2840957 3246808 4885384 5681914 6493616 9334573 9770768 11363828 12987232 18669146 19541536 22727656 37338292 45455312 65342011 74676584 90910624 130684022 149353168 261368044 298706336 522736088 1045472176 2090944352