[go: up one dir, main page]

Search a number
-
+
46724730 = 23513235209
BaseRepresentation
bin1011001000111…
…1011001111010
310020220212021120
42302033121322
543430142410
64345250110
71105103463
oct262173172
9106825246
1046724730
1124413a88
1213793936
1398ac690
1462c3d6a
15417e570
hex2c8f67a

46724730 has 64 divisors (see below), whose sum is σ = 126040320. Its totient is φ = 10999296.

The previous prime is 46724723. The next prime is 46724731. The reversal of 46724730 is 3742764.

It is a junction number, because it is equal to n+sod(n) for n = 46724691 and 46724700.

It is not an unprimeable number, because it can be changed into a prime (46724731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6366 + ... + 11574.

It is an arithmetic number, because the mean of its divisors is an integer number (1969380).

Almost surely, 246724730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46724730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63020160).

46724730 is an abundant number, since it is smaller than the sum of its proper divisors (79315590).

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

46724730 is a wasteful number, since it uses less digits than its factorization.

46724730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255.

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 46724730 is about 6835.5489903884. The cubic root of 46724730 is about 360.1766879587.

The spelling of 46724730 in words is "forty-six million, seven hundred twenty-four thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 897 1495 1794 2990 4485 5209 8970 10418 15627 26045 31254 52090 67717 78135 119807 135434 156270 203151 239614 338585 359421 406302 599035 677170 718842 1015755 1198070 1557491 1797105 2031510 3114982 3594210 4672473 7787455 9344946 15574910 23362365 46724730