Search a number
-
+
461007716 = 2213193712611
BaseRepresentation
bin11011011110100…
…110101101100100
31012010110121200212
4123132212231210
51421004221331
6113424554552
714265333551
oct3336465544
91163417625
10461007716
11217254a14
1210a482a58
1374682140
1445325a28
152a714d2b
hex1b7a6b64

461007716 has 48 divisors (see below), whose sum is σ = 939341760. Its totient is φ = 196110720.

The previous prime is 461007689. The next prime is 461007721. The reversal of 461007716 is 617700164.

It is a happy number.

It is a super-2 number, since 2×4610077162 = 425056228423073312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30251 + ... + 42861.

It is an arithmetic number, because the mean of its divisors is an integer number (19569620).

Almost surely, 2461007716 is an apocalyptic number.

It is an amenable number.

461007716 is an abundant number, since it is smaller than the sum of its proper divisors (478334044).

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

461007716 is a wasteful number, since it uses less digits than its factorization.

461007716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684 (or 12682 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 461007716 is about 21471.0902378058. The cubic root of 461007716 is about 772.5075478852.

The spelling of 461007716 in words is "four hundred sixty-one million, seven thousand, seven hundred sixteen".

Divisors: 1 2 4 13 19 26 37 38 52 74 76 148 247 481 494 703 962 988 1406 1924 2812 9139 12611 18278 25222 36556 50444 163943 239609 327886 466607 479218 655772 933214 958436 1866428 3114917 6065891 6229834 8865533 12131782 12459668 17731066 24263564 35462132 115251929 230503858 461007716