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45380208 = 24317192927
BaseRepresentation
bin1010110100011…
…1001001110000
310011101112221110
42231013021300
543104131313
64300353320
71060503546
oct255071160
9104345843
1045380208
1123685905
1213245840
13952b6c3
146053d96
153eb5ec3
hex2b47270

45380208 has 80 divisors (see below), whose sum is σ = 130705920. Its totient is φ = 13483008.

The previous prime is 45380201. The next prime is 45380221. The reversal of 45380208 is 80208354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45380201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14041 + ... + 16967.

It is an arithmetic number, because the mean of its divisors is an integer number (1633824).

Almost surely, 245380208 is an apocalyptic number.

45380208 is a gapful number since it is divisible by the number (48) 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 45380208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65352960).

45380208 is an abundant number, since it is smaller than the sum of its proper divisors (85325712).

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

45380208 is a wasteful number, since it uses less digits than its factorization.

45380208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 45380208 is about 6736.4833555795. The cubic root of 45380208 is about 356.6882699621.

The spelling of 45380208 in words is "forty-five million, three hundred eighty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 2927 3876 5168 5854 7752 8781 11708 15504 17562 23416 35124 46832 49759 55613 70248 99518 111226 140496 149277 166839 199036 222452 298554 333678 398072 444904 597108 667356 796144 889808 945421 1194216 1334712 1890842 2388432 2669424 2836263 3781684 5672526 7563368 11345052 15126736 22690104 45380208