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45990810 = 23252967263
BaseRepresentation
bin1010111101110…
…0001110011010
310012112120112100
42233130032122
543233201220
64321424230
71065625665
oct257341632
9105476470
1045990810
1123a62638
121349b076
1396b35c8
1461726dc
154086d90
hex2bdc39a

45990810 has 96 divisors (see below), whose sum is σ = 126023040. Its totient is φ = 11620224.

The previous prime is 45990809. The next prime is 45990817. The reversal of 45990810 is 1809954.

It is a super-2 number, since 2×459908102 = 4230309208912200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45990817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174739 + ... + 175001.

It is an arithmetic number, because the mean of its divisors is an integer number (1312740).

Almost surely, 245990810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45990810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63011520).

45990810 is an abundant number, since it is smaller than the sum of its proper divisors (80032230).

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

45990810 is a wasteful number, since it uses less digits than its factorization.

45990810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 45990810 is about 6781.6524534954. The cubic root of 45990810 is about 358.2809244907.

The spelling of 45990810 in words is "forty-five million, nine hundred ninety thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 67 87 90 134 145 174 201 261 263 290 335 402 435 522 526 603 670 789 870 1005 1206 1305 1315 1578 1943 2010 2367 2610 2630 3015 3886 3945 4734 5829 6030 7627 7890 9715 11658 11835 15254 17487 17621 19430 22881 23670 29145 34974 35242 38135 45762 52863 58290 68643 76270 87435 88105 105726 114405 137286 158589 174870 176210 228810 264315 317178 343215 511009 528630 686430 792945 1022018 1533027 1585890 2555045 3066054 4599081 5110090 7665135 9198162 15330270 22995405 45990810