Search a number
-
+
46761240 = 2335478291
BaseRepresentation
bin1011001001100…
…0010100011000
310020222201100210
42302120110120
543432324430
64350131120
71105315101
oct262302430
9106881323
1046761240
1124439459
12137b0aa0
1398c3196
1462d33a8
15418a2b0
hex2c98518

46761240 has 64 divisors (see below), whose sum is σ = 143285760. Its totient is φ = 12202880.

The previous prime is 46761233. The next prime is 46761241. The reversal of 46761240 is 4216764.

It is a super-2 number, since 2×467612402 = 4373227132675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 46761198 and 46761207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46761241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1495 + ... + 9785.

It is an arithmetic number, because the mean of its divisors is an integer number (2238840).

Almost surely, 246761240 is an apocalyptic number.

46761240 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 46761240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71642880).

46761240 is an abundant number, since it is smaller than the sum of its proper divisors (96524520).

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

46761240 is a wasteful number, since it uses less digits than its factorization.

46761240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8352 (or 8348 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 46761240 is about 6838.2190663944. The cubic root of 46761240 is about 360.2704757472.

The spelling of 46761240 in words is "forty-six million, seven hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 8291 16582 24873 33164 41455 49746 66328 82910 99492 124365 165820 198984 248730 331640 389677 497460 779354 994920 1169031 1558708 1948385 2338062 3117416 3896770 4676124 5845155 7793540 9352248 11690310 15587080 23380620 46761240