Search a number
-
+
46494630 = 23257213811
BaseRepresentation
bin1011000101011…
…1001110100110
310020111011122100
42301113032212
543400312010
64340312530
71103124600
oct261271646
9106434570
1046494630
1124277116
12136a2746
13982ba20
146264170
1541362c0
hex2c573a6

46494630 has 144 divisors (see below), whose sum is σ = 151626384. Its totient is φ = 9797760.

The previous prime is 46494629. The next prime is 46494631. The reversal of 46494630 is 3649464.

46494630 is a `hidden beast` number, since 4 + 649 + 4 + 6 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46494629) and next prime (46494631).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46494631) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56925 + ... + 57735.

It is an arithmetic number, because the mean of its divisors is an integer number (1052961).

Almost surely, 246494630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46494630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75813192).

46494630 is an abundant number, since it is smaller than the sum of its proper divisors (105131754).

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

46494630 is a wasteful number, since it uses less digits than its factorization.

46494630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 46494630 is about 6818.6970896206. The cubic root of 46494630 is about 359.5844742726.

The spelling of 46494630 in words is "forty-six million, four hundred ninety-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 811 819 882 910 1170 1274 1365 1470 1622 1638 1911 2205 2433 2730 3185 3822 4055 4095 4410 4866 5677 5733 6370 7299 8110 8190 9555 10543 11354 11466 12165 14598 17031 19110 21086 24330 28385 28665 31629 34062 36495 39739 51093 52715 56770 57330 63258 72990 73801 79478 85155 94887 102186 105430 119217 147602 158145 170310 189774 198695 221403 238434 255465 316290 357651 369005 397390 442806 474435 510930 516607 596085 664209 715302 738010 948870 1033214 1107015 1192170 1328418 1549821 1788255 2214030 2583035 3099642 3321045 3576510 4649463 5166070 6642090 7749105 9298926 15498210 23247315 46494630