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45880000 = 26543137
BaseRepresentation
bin1010111100000…
…1001011000000
310012022221112021
42233001023000
543221130000
64315211224
71064654635
oct257011300
9105287467
1045880000
1123997361
1213446b14
13967503a
14614418c
15406411a
hex2bc12c0

45880000 has 140 divisors (see below), whose sum is σ = 120611392. Its totient is φ = 17280000.

The previous prime is 45879983. The next prime is 45880013. The reversal of 45880000 is 8854.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1239982 + ... + 1240018.

Almost surely, 245880000 is an apocalyptic number.

45880000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60305696).

45880000 is an abundant number, since it is smaller than the sum of its proper divisors (74731392).

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

45880000 is an equidigital number, since it uses as much as digits as its factorization.

45880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 45880000 is about 6773.4776887504. The cubic root of 45880000 is about 357.9929463983.

Adding to 45880000 its reverse (8854), we get a palindrome (45888854).

The spelling of 45880000 in words is "forty-five million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 37 40 50 62 64 74 80 100 124 125 148 155 160 185 200 248 250 296 310 320 370 400 496 500 592 620 625 740 775 800 925 992 1000 1147 1184 1240 1250 1480 1550 1600 1850 1984 2000 2294 2368 2480 2500 2960 3100 3700 3875 4000 4588 4625 4960 5000 5735 5920 6200 7400 7750 8000 9176 9250 9920 10000 11470 11840 12400 14800 15500 18352 18500 19375 20000 22940 23125 24800 28675 29600 31000 36704 37000 38750 40000 45880 46250 49600 57350 59200 62000 73408 74000 77500 91760 92500 114700 124000 143375 148000 155000 183520 185000 229400 248000 286750 296000 310000 367040 370000 458800 573500 620000 716875 740000 917600 1147000 1240000 1433750 1480000 1835200 2294000 2867500 4588000 5735000 9176000 11470000 22940000 45880000