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45481856 = 277232207
BaseRepresentation
bin1010110101111…
…1111110000000
310011120201101012
42231133332000
543120404411
64302500052
71061406110
oct255377600
9104521335
1045481856
1123745212
1213294628
139565a54
14607d040
153ed618b
hex2b5ff80

45481856 has 64 divisors (see below), whose sum is σ = 108103680. Its totient is φ = 18636288.

The previous prime is 45481841. The next prime is 45481859. The reversal of 45481856 is 65818454.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45481859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19505 + ... + 21711.

It is an arithmetic number, because the mean of its divisors is an integer number (1689120).

Almost surely, 245481856 is an apocalyptic number.

45481856 is a gapful number since it is divisible by the number (46) 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 45481856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54051840).

45481856 is an abundant number, since it is smaller than the sum of its proper divisors (62621824).

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

45481856 is a wasteful number, since it uses less digits than its factorization.

45481856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2239 counting only the distinct ones).

The product of its digits is 153600, while the sum is 41.

The square root of 45481856 is about 6744.0237247507. The cubic root of 45481856 is about 356.9543890027.

The spelling of 45481856 in words is "forty-five million, four hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2207 2576 2944 4414 5152 8828 10304 15449 17656 20608 30898 35312 50761 61796 70624 101522 123592 141248 203044 247184 282496 355327 406088 494368 710654 812176 988736 1421308 1624352 1977472 2842616 3248704 5685232 6497408 11370464 22740928 45481856