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45880830 = 235579239
BaseRepresentation
bin1010111100000…
…1010111111110
310012022222200000
42233001113332
543221141310
64315215130
71064660232
oct257012776
9105288600
1045880830
1123997a46
12134474a6
139675528
1461445c2
1540644c0
hex2bc15fe

45880830 has 96 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 12029472.

The previous prime is 45880799. The next prime is 45880831. The reversal of 45880830 is 3808854.

It is a super-2 number, since 2×458808302 = 4210101122977800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45880831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191851 + ... + 192089.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 245880830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45880830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

45880830 is an abundant number, since it is smaller than the sum of its proper divisors (79917570).

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

45880830 is a wasteful number, since it uses less digits than its factorization.

45880830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 45880830 is about 6773.5389568526. The cubic root of 45880830 is about 357.9951051628.

The spelling of 45880830 in words is "forty-five million, eight hundred eighty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 90 135 158 162 237 239 243 270 395 405 474 478 486 711 717 790 810 1185 1195 1215 1422 1434 2133 2151 2370 2390 2430 3555 3585 4266 4302 6399 6453 7110 7170 10665 10755 12798 12906 18881 19197 19359 21330 21510 31995 32265 37762 38394 38718 56643 58077 63990 64530 94405 95985 96795 113286 116154 169929 188810 191970 193590 283215 290385 339858 509787 566430 580770 849645 1019574 1529361 1699290 2548935 3058722 4588083 5097870 7646805 9176166 15293610 22940415 45880830