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46097142 = 2373131723
BaseRepresentation
bin1010111111011…
…0001011110110
310012201222101120
42233312023312
543300102032
64324004410
71066551000
oct257661366
9105658346
1046097142
1124025513
1213530706
13971cb20
14619d370
1540a862c
hex2bf62f6

46097142 has 64 divisors (see below), whose sum is σ = 115852800. Its totient is φ = 12150432.

The previous prime is 46097141. The next prime is 46097159. The reversal of 46097142 is 24179064.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46097141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25893 + ... + 27615.

It is an arithmetic number, because the mean of its divisors is an integer number (1810200).

Almost surely, 246097142 is an apocalyptic number.

46097142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 46097142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57926400).

46097142 is an abundant number, since it is smaller than the sum of its proper divisors (69755658).

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

46097142 is a wasteful number, since it uses less digits than its factorization.

46097142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 46097142 is about 6789.4876095328. The cubic root of 46097142 is about 358.5568303706.

The spelling of 46097142 in words is "forty-six million, ninety-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 546 637 686 1029 1274 1723 1911 2058 3446 3822 4459 5169 8918 10338 12061 13377 22399 24122 26754 36183 44798 67197 72366 84427 134394 156793 168854 253281 313586 470379 506562 590989 940758 1097551 1181978 1772967 2195102 3292653 3545934 6585306 7682857 15365714 23048571 46097142