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2552020380 = 22325713155801
BaseRepresentation
bin1001100000011100…
…1011110110011100
320120212002001211100
42120013023312130
520211304123010
61101122353100
7120145546440
oct23007136634
96525061740
102552020380
11109a604758
125b27bb790
13318944340
141a2d12820
15ee0a42c0
hex981cbd9c

2552020380 has 144 divisors (see below), whose sum is σ = 9527603904. Its totient is φ = 538444800.

The previous prime is 2552020369. The next prime is 2552020403. The reversal of 2552020380 is 830202552.

2552020380 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61521 + ... + 94280.

It is an arithmetic number, because the mean of its divisors is an integer number (66163916).

Almost surely, 22552020380 is an apocalyptic number.

2552020380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552020380 is an abundant number, since it is smaller than the sum of its proper divisors (6975583524).

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

2552020380 is a wasteful number, since it uses less digits than its factorization.

2552020380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155836 (or 155831 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2552020380 is about 50517.5254738393. The cubic root of 2552020380 is about 1366.5579281586.

The spelling of 2552020380 in words is "two billion, five hundred fifty-two million, twenty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 155801 311602 467403 623204 779005 934806 1090607 1402209 1558010 1869612 2025413 2181214 2337015 2804418 3116020 3271821 4050826 4362428 4674030 5453035 5608836 6076239 6543642 7011045 8101652 9348060 9815463 10127065 10906070 12152478 13087284 14022090 14177891 16359105 18228717 19630926 20254130 21812140 24304956 28044180 28355782 30381195 32718210 36457434 39261852 40508260 42533673 49077315 56711564 60762390 65436420 70889455 72914868 85067346 91143585 98154630 121524780 127601019 141778910 170134692 182287170 196309260 212668365 255202038 283557820 364574340 425336730 510404076 638005095 850673460 1276010190 2552020380