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45780504 = 23372113539
BaseRepresentation
bin1010111010100…
…0111000011000
310012010220001020
42232220320120
543204434004
64313122440
71064061600
oct256507030
9105126036
1045780504
1123929630
12133b9420
13963b973
146119c00
1540448d9
hex2ba8e18

45780504 has 96 divisors (see below), whose sum is σ = 145281600. Its totient is φ = 11887680.

The previous prime is 45780487. The next prime is 45780517. The reversal of 45780504 is 40508754.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11167 + ... + 14705.

It is an arithmetic number, because the mean of its divisors is an integer number (1513350).

Almost surely, 245780504 is an apocalyptic number.

45780504 is a gapful number since it is divisible by the number (44) 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 45780504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72640800).

45780504 is an abundant number, since it is smaller than the sum of its proper divisors (99501096).

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

45780504 is a wasteful number, since it uses less digits than its factorization.

45780504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 45780504 is about 6766.1291740551. The cubic root of 45780504 is about 357.7339762943.

The spelling of 45780504 in words is "forty-five million, seven hundred eighty thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 3539 4312 6468 7078 10617 12936 14156 21234 24773 28312 38929 42468 49546 74319 77858 84936 99092 116787 148638 155716 173411 198184 233574 272503 297276 311432 346822 467148 520233 545006 594552 693644 817509 934296 1040466 1090012 1387288 1635018 1907521 2080932 2180024 3270036 3815042 4161864 5722563 6540072 7630084 11445126 15260168 22890252 45780504