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46501140 = 22357532089
BaseRepresentation
bin1011000101100…
…0110100010100
310020111111120110
42301120310110
543401014030
64340403020
71103152560
oct261306424
9106444513
1046501140
1124280aa4
12136a6470
13983198a
1462666a0
1541381b0
hex2c58d14

46501140 has 96 divisors (see below), whose sum is σ = 151683840. Its totient is φ = 10423296.

The previous prime is 46501139. The next prime is 46501153. The reversal of 46501140 is 4110564.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 21216 + ... + 23304.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 246501140 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 46501140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841920).

46501140 is an abundant number, since it is smaller than the sum of its proper divisors (105182700).

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

46501140 is a wasteful number, since it uses less digits than its factorization.

46501140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 46501140 is about 6819.1744368362. The cubic root of 46501140 is about 359.6012560363.

The spelling of 46501140 in words is "forty-six million, five hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2089 2226 3180 3710 4178 4452 5565 6267 7420 8356 10445 11130 12534 14623 20890 22260 25068 29246 31335 41780 43869 58492 62670 73115 87738 110717 125340 146230 175476 219345 221434 292460 332151 438690 442868 553585 664302 775019 877380 1107170 1328604 1550038 1660755 2214340 2325057 3100076 3321510 3875095 4650114 6643020 7750190 9300228 11625285 15500380 23250570 46501140