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46797114 = 23713219347
BaseRepresentation
bin1011001010000…
…1000100111010
310021001112120110
42302201010322
543440001424
64351005150
71105524510
oct262410472
9107045513
1046797114
1124463401
12138097b6
139906600
1463024b0
154195c29
hex2ca113a

46797114 has 96 divisors (see below), whose sum is σ = 122273280. Its totient is φ = 11658816.

The previous prime is 46797077. The next prime is 46797131. The reversal of 46797114 is 41179764.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134689 + ... + 135035.

It is an arithmetic number, because the mean of its divisors is an integer number (1273680).

Almost surely, 246797114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46797114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61136640).

46797114 is an abundant number, since it is smaller than the sum of its proper divisors (75476166).

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

46797114 is a wasteful number, since it uses less digits than its factorization.

46797114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 46797114 is about 6840.8416148892. The cubic root of 46797114 is about 360.3625822253.

The spelling of 46797114 in words is "forty-six million, seven hundred ninety-seven thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 169 182 247 266 273 338 347 399 494 507 546 694 741 798 1014 1041 1183 1482 1729 2082 2366 2429 3211 3458 3549 4511 4858 5187 6422 6593 7098 7287 9022 9633 10374 13186 13533 14574 19266 19779 22477 27066 31577 39558 44954 46151 58643 63154 67431 85709 92302 94731 117286 134862 138453 171418 175929 189462 257127 276906 351858 410501 514254 599963 821002 1114217 1199926 1231503 1799889 2228434 2463006 3342651 3599778 6685302 7799519 15599038 23398557 46797114