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2050303632 = 2431317347557
BaseRepresentation
bin111101000110101…
…0010011010010000
312021220000012211120
41322031102122100
513144334204012
6535241042240
7101544202416
oct17215223220
95256005746
102050303632
11962385513
12492786380
13268a0aa20
141564312b6
15beeec58c
hex7a352690

2050303632 has 160 divisors (see below), whose sum is σ = 6067861632. Its totient is φ = 590979072.

The previous prime is 2050303627. The next prime is 2050303643. The reversal of 2050303632 is 2363030502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3680698 + ... + 3681254.

Almost surely, 22050303632 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 2050303632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033930816).

2050303632 is an abundant number, since it is smaller than the sum of its proper divisors (4017558000).

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

2050303632 is a wasteful number, since it uses less digits than its factorization.

2050303632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 2050303632 is about 45280.2786210509. The cubic root of 2050303632 is about 1270.3968074131.

The spelling of 2050303632 in words is "two billion, fifty million, three hundred three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 347 408 442 557 624 663 694 816 884 1041 1114 1326 1388 1671 1768 2082 2228 2652 2776 3342 3536 4164 4456 4511 5304 5552 5899 6684 7241 8328 8912 9022 9469 10608 11798 13368 13533 14482 16656 17697 18044 18938 21723 23596 26736 27066 28407 28964 35394 36088 37876 43446 47192 54132 56814 57928 70788 72176 75752 76687 86892 94384 108264 113628 115856 123097 141576 151504 153374 173784 193279 216528 227256 230061 246194 283152 306748 347568 369291 386558 454512 460122 492388 579837 613496 738582 773116 920244 984776 1159674 1226992 1477164 1546232 1840488 1969552 2319348 2512627 2954328 3092464 3285743 3680976 4638696 5025254 5908656 6571486 7537881 9277392 9857229 10050508 13142972 15075762 19714458 20101016 26285944 30151524 39428916 40202032 42714659 52571888 60303048 78857832 85429318 120606096 128143977 157715664 170858636 256287954 341717272 512575908 683434544 1025151816 2050303632