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45497496 = 233112359127
BaseRepresentation
bin1010110110001…
…1110010011000
310011121111211110
42231203302120
543121404441
64303100320
71061502522
oct255436230
9104544743
1045497496
1123755a40
12132a16a0
13956cbc5
146084a12
153edab16
hex2b63c98

45497496 has 128 divisors (see below), whose sum is σ = 132710400. Its totient is φ = 12862080.

The previous prime is 45497477. The next prime is 45497509. The reversal of 45497496 is 69479454.

It is a happy number.

45497496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358185 + ... + 358311.

It is an arithmetic number, because the mean of its divisors is an integer number (1036800).

Almost surely, 245497496 is an apocalyptic number.

45497496 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 45497496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66355200).

45497496 is an abundant number, since it is smaller than the sum of its proper divisors (87212904).

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

45497496 is a wasteful number, since it uses less digits than its factorization.

45497496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 45497496 is about 6745.1831702334. The cubic root of 45497496 is about 356.9953000189.

The spelling of 45497496 in words is "forty-five million, four hundred ninety-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 59 66 69 88 92 118 127 132 138 177 184 236 253 254 264 276 354 381 472 506 508 552 649 708 759 762 1012 1016 1298 1357 1397 1416 1518 1524 1947 2024 2596 2714 2794 2921 3036 3048 3894 4071 4191 5192 5428 5588 5842 6072 7493 7788 8142 8382 8763 10856 11176 11684 14927 14986 15576 16284 16764 17526 22479 23368 29854 29972 32131 32568 33528 35052 44781 44958 59708 59944 64262 70104 82423 89562 89916 96393 119416 128524 164846 172339 179124 179832 192786 247269 257048 329692 344678 358248 385572 494538 517017 659384 689356 771144 989076 1034034 1378712 1895729 1978152 2068068 3791458 4136136 5687187 7582916 11374374 15165832 22748748 45497496