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46345464 = 233211163359
BaseRepresentation
bin1011000011001…
…0110011111000
310020012121000200
42300302303320
543331023324
64333202200
71101633654
oct260626370
9106177020
1046345464
1124185040
1213630360
1397a8b69
146225a64
154106ec9
hex2c32cf8

46345464 has 96 divisors (see below), whose sum is σ = 138153600. Its totient is φ = 13919040.

The previous prime is 46345459. The next prime is 46345469. The reversal of 46345464 is 46454364.

46345464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46345459) and next prime (46345469).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46345469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128917 + ... + 129275.

It is an arithmetic number, because the mean of its divisors is an integer number (1439100).

Almost surely, 246345464 is an apocalyptic number.

46345464 is a gapful number since it is divisible by the number (44) 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 46345464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69076800).

46345464 is an abundant number, since it is smaller than the sum of its proper divisors (91808136).

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

46345464 is a wasteful number, since it uses less digits than its factorization.

46345464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 538 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 46345464 is about 6807.7502891925. The cubic root of 46345464 is about 359.1995176935.

Subtracting 46345464 from its reverse (46454364), we obtain a square (108900 = 3302).

The spelling of 46345464 in words is "forty-six million, three hundred forty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 163 198 264 326 359 396 489 652 718 792 978 1077 1304 1436 1467 1793 1956 2154 2872 2934 3231 3586 3912 3949 4308 5379 5868 6462 7172 7898 8616 10758 11736 11847 12924 14344 15796 16137 21516 23694 25848 31592 32274 35541 43032 47388 58517 64548 71082 94776 117034 129096 142164 175551 234068 284328 351102 468136 526653 643687 702204 1053306 1287374 1404408 1931061 2106612 2574748 3862122 4213224 5149496 5793183 7724244 11586366 15448488 23172732 46345464