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46002096 = 2432747971
BaseRepresentation
bin1010111101111…
…0111110110000
310012120011000100
42233132332300
543234031341
64321552400
71066003620
oct257367660
9105504010
1046002096
1123a70068
12134a5700
1396b879a
146176880
15408a3b6
hex2bdefb0

46002096 has 120 divisors (see below), whose sum is σ = 150418944. Its totient is φ = 12850560.

The previous prime is 46002083. The next prime is 46002101. The reversal of 46002096 is 69020064.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 46891 + ... + 47861.

Almost surely, 246002096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46002096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75209472).

46002096 is an abundant number, since it is smaller than the sum of its proper divisors (104416848).

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

46002096 is a wasteful number, since it uses less digits than its factorization.

46002096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 46002096 is about 6782.4845005352. The cubic root of 46002096 is about 358.3102290974.

The spelling of 46002096 in words is "forty-six million, two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 971 987 1008 1128 1316 1692 1942 1974 2256 2632 2913 2961 3384 3884 3948 5264 5826 5922 6768 6797 7768 7896 8739 11652 11844 13594 15536 15792 17478 20391 23304 23688 27188 34956 40782 45637 46608 47376 54376 61173 69912 81564 91274 108752 122346 136911 139824 163128 182548 244692 273822 319459 326256 365096 410733 489384 547644 638918 730192 821466 958377 978768 1095288 1277836 1642932 1916754 2190576 2555672 2875131 3285864 3833508 5111344 5750262 6571728 7667016 11500524 15334032 23001048 46002096