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45990126 = 2337313191
BaseRepresentation
bin1010111101110…
…0000011101110
310012112112121000
42233130003232
543233141001
64321421130
71065624000
oct257340356
9105475530
1045990126
1123a62076
121349a7a6
1396b31c0
146172370
154086a86
hex2bdc0ee

45990126 has 128 divisors (see below), whose sum is σ = 129024000. Its totient is φ = 12065760.

The previous prime is 45990121. The next prime is 45990169. The reversal of 45990126 is 62109954.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45990121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240691 + ... + 240881.

It is an arithmetic number, because the mean of its divisors is an integer number (1008000).

Almost surely, 245990126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45990126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512000).

45990126 is an abundant number, since it is smaller than the sum of its proper divisors (83033874).

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

45990126 is a wasteful number, since it uses less digits than its factorization.

45990126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 45990126 is about 6781.6020231211. The cubic root of 45990126 is about 358.2791482999.

The spelling of 45990126 in words is "forty-five million, nine hundred ninety thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 191 234 273 294 343 351 378 382 441 546 573 637 686 702 819 882 1029 1146 1274 1323 1337 1638 1719 1911 2058 2457 2483 2646 2674 3087 3438 3822 4011 4459 4914 4966 5157 5733 6174 7449 8022 8918 9261 9359 10314 11466 12033 13377 14898 17199 17381 18522 18718 22347 24066 26754 28077 34398 34762 36099 40131 44694 52143 56154 65513 67041 72198 80262 84231 104286 120393 121667 131026 134082 156429 168462 196539 240786 243334 252693 312858 365001 393078 469287 505386 589617 730002 851669 938574 1095003 1179234 1703338 1768851 2190006 2555007 3285009 3537702 5110014 6570018 7665021 15330042 22995063 45990126