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45880380 = 223257132801
BaseRepresentation
bin1010111100000…
…1010000111100
310012022222001100
42233001100330
543221133010
64315213100
71064656020
oct257012074
9105288040
1045880380
1123997677
1213447190
139675270
146144380
1540642c0
hex2bc143c

45880380 has 144 divisors (see below), whose sum is σ = 171347904. Its totient is φ = 9676800.

The previous prime is 45880369. The next prime is 45880391. The reversal of 45880380 is 8308854.

It is an interprime number because it is at equal distance from previous prime (45880369) and next prime (45880391).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14980 + ... + 17780.

It is an arithmetic number, because the mean of its divisors is an integer number (1189916).

Almost surely, 245880380 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 45880380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85673952).

45880380 is an abundant number, since it is smaller than the sum of its proper divisors (125467524).

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

45880380 is a wasteful number, since it uses less digits than its factorization.

45880380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2831 counting only the distinct ones).

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

The square root of 45880380 is about 6773.5057392756. The cubic root of 45880380 is about 357.9939347515.

The spelling of 45880380 in words is "forty-five million, eight hundred eighty 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 2801 3276 4095 5460 5602 8190 8403 11204 14005 16380 16806 19607 25209 28010 33612 36413 39214 42015 50418 56020 58821 72826 78428 84030 98035 100836 109239 117642 126045 145652 168060 176463 182065 196070 218478 235284 252090 254891 294105 327717 352926 364130 392140 436956 504180 509782 546195 588210 655434 705852 728260 764673 882315 1019564 1092390 1176420 1274455 1310868 1529346 1638585 1764630 2184780 2294019 2548910 3058692 3277170 3529260 3823365 4588038 5097820 6554340 7646730 9176076 11470095 15293460 22940190 45880380