[go: up one dir, main page]

Search a number
-
+
46306040 = 235111929191
BaseRepresentation
bin1011000010100…
…1001011111000
310020010120221112
42300221023320
543323243130
64332255452
71101411014
oct260511370
9106116845
1046306040
1124158460
1213611588
139793c31
146215544
1540ea495
hex2c292f8

46306040 has 128 divisors (see below), whose sum is σ = 124416000. Its totient is φ = 15321600.

The previous prime is 46306031. The next prime is 46306063. The reversal of 46306040 is 4060364.

It is a junction number, because it is equal to n+sod(n) for n = 46305997 and 46306015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242345 + ... + 242535.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 246306040 is an apocalyptic number.

46306040 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 46306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62208000).

46306040 is an abundant number, since it is smaller than the sum of its proper divisors (78109960).

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

46306040 is a wasteful number, since it uses less digits than its factorization.

46306040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 46306040 is about 6804.8541497963. The cubic root of 46306040 is about 359.0976371795.

The spelling of 46306040 in words is "forty-six million, three hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 29 38 40 44 55 58 76 88 95 110 116 145 152 190 191 209 220 232 290 319 380 382 418 440 551 580 638 760 764 836 955 1045 1102 1160 1276 1528 1595 1672 1910 2090 2101 2204 2552 2755 3190 3629 3820 4180 4202 4408 5510 5539 6061 6380 7258 7640 8360 8404 10505 11020 11078 12122 12760 14516 16808 18145 21010 22040 22156 24244 27695 29032 30305 36290 39919 42020 44312 48488 55390 60610 60929 72580 79838 84040 105241 110780 121220 121858 145160 159676 199595 210482 221560 242440 243716 304645 319352 399190 420964 487432 526205 609290 798380 841928 1052410 1157651 1218580 1596760 2104820 2315302 2437160 4209640 4630604 5788255 9261208 11576510 23153020 46306040