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46868280 = 23353143293
BaseRepresentation
bin1011001011001…
…0011100111000
310021012011012020
42302302130320
543444241110
64352314440
71106242134
oct262623470
9107164166
1046868280
1124501918
1213842a20
13992cb14
1463203c4
1541abd70
hex2cb2738

46868280 has 128 divisors (see below), whose sum is σ = 149022720. Its totient is φ = 11773440.

The previous prime is 46868267. The next prime is 46868287. The reversal of 46868280 is 8286864.

46868280 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 not an unprimeable number, because it can be changed into a prime (46868287) by changing a digit.

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, 159814 + ... + 160106.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 246868280 is an apocalyptic number.

46868280 is a gapful number since it is divisible by the number (40) 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 46868280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511360).

46868280 is an abundant number, since it is smaller than the sum of its proper divisors (102154440).

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

46868280 is a wasteful number, since it uses less digits than its factorization.

46868280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 46868280 is about 6846.0411918130. The cubic root of 46868280 is about 360.5451616786.

The spelling of 46868280 in words is "forty-six million, eight hundred sixty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 43 60 62 86 93 120 124 129 155 172 186 215 248 258 293 310 344 372 430 465 516 586 620 645 744 860 879 930 1032 1172 1240 1290 1333 1465 1720 1758 1860 2344 2580 2666 2930 3516 3720 3999 4395 5160 5332 5860 6665 7032 7998 8790 9083 10664 11720 12599 13330 15996 17580 18166 19995 25198 26660 27249 31992 35160 36332 37797 39990 45415 50396 53320 54498 62995 72664 75594 79980 90830 100792 108996 125990 136245 151188 159960 181660 188985 217992 251980 272490 302376 363320 377970 390569 503960 544980 755940 781138 1089960 1171707 1511880 1562276 1952845 2343414 3124552 3905690 4686828 5858535 7811380 9373656 11717070 15622760 23434140 46868280