Search a number
-
+
46071270 = 23257231337
BaseRepresentation
bin1010111110111…
…1110111100110
310012200122220100
42233233313212
543243240040
64323244530
71066412400
oct257576746
9105618810
1046071270
1124008033
1213519746
13971110b
146193b70
1540a0b30
hex2befde6

46071270 has 144 divisors (see below), whose sum is σ = 144263808. Its totient is φ = 10160640.

The previous prime is 46071269. The next prime is 46071281. The reversal of 46071270 is 7217064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136542 + ... + 136878.

It is an arithmetic number, because the mean of its divisors is an integer number (1001832).

Almost surely, 246071270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46071270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72131904).

46071270 is an abundant number, since it is smaller than the sum of its proper divisors (98192538).

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

46071270 is a wasteful number, since it uses less digits than its factorization.

46071270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 46071270 is about 6787.5820437030. The cubic root of 46071270 is about 358.4897378644.

The spelling of 46071270 in words is "forty-six million, seventy-one thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 49 62 63 70 90 93 98 105 126 147 155 186 210 217 245 279 294 310 315 337 434 441 465 490 558 630 651 674 735 882 930 1011 1085 1302 1395 1470 1519 1685 1953 2022 2170 2205 2359 2790 3033 3038 3255 3370 3906 4410 4557 4718 5055 6066 6510 7077 7595 9114 9765 10110 10447 11795 13671 14154 15165 15190 16513 19530 20894 21231 22785 23590 27342 30330 31341 33026 35385 42462 45570 49539 52235 62682 68355 70770 73129 82565 94023 99078 104470 106155 136710 146258 148617 156705 165130 188046 212310 219387 247695 297234 313410 365645 438774 470115 495390 511903 658161 731290 743085 940230 1023806 1096935 1316322 1486170 1535709 2193870 2559515 3071418 3290805 4607127 5119030 6581610 7678545 9214254 15357090 23035635 46071270