Search a number
-
+
46312440 = 23351672311
BaseRepresentation
bin1011000010101…
…0101111111000
310020010220201120
42300222233320
543323444230
64332345240
71101435456
oct260525770
9106126646
1046312440
1124162249
1213615220
139796b15
1462179d6
1540ec310
hex2c2abf8

46312440 has 64 divisors (see below), whose sum is σ = 139829760. Its totient is φ = 12270720.

The previous prime is 46312433. The next prime is 46312447. The reversal of 46312440 is 4421364.

It is an interprime number because it is at equal distance from previous prime (46312433) and next prime (46312447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 46312440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46312447) 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, 18885 + ... + 21195.

It is an arithmetic number, because the mean of its divisors is an integer number (2184840).

Almost surely, 246312440 is an apocalyptic number.

46312440 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 46312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69914880).

46312440 is an abundant number, since it is smaller than the sum of its proper divisors (93517320).

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

46312440 is a wasteful number, since it uses less digits than its factorization.

46312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 46312440 is about 6805.3243860965. The cubic root of 46312440 is about 359.1141801547.

The spelling of 46312440 in words is "forty-six million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1336 1670 2004 2311 2505 3340 4008 4622 5010 6680 6933 9244 10020 11555 13866 18488 20040 23110 27732 34665 46220 55464 69330 92440 138660 277320 385937 771874 1157811 1543748 1929685 2315622 3087496 3859370 4631244 5789055 7718740 9262488 11578110 15437480 23156220 46312440