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46945332 = 2234722957
BaseRepresentation
bin1011001100010…
…1010000110100
310021100001220000
42303011100310
544004222312
64354111300
71110012600
oct263052064
9107301800
1046945332
11245547a5
121387b530
139958c05
146340500
1541c4adc
hex2cc5434

46945332 has 90 divisors (see below), whose sum is σ = 142809282. Its totient is φ = 13408416.

The previous prime is 46945331. The next prime is 46945357. The reversal of 46945332 is 23354964.

It can be written as a sum of positive squares in only one way, i.e., 33593616 + 13351716 = 5796^2 + 3654^2 .

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 (46945331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14398 + ... + 17354.

Almost surely, 246945332 is an apocalyptic number.

46945332 is a gapful number since it is divisible by the number (42) 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 46945332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71404641).

46945332 is an abundant number, since it is smaller than the sum of its proper divisors (95863950).

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

46945332 is a wasteful number, since it uses less digits than its factorization.

46945332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2969 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 46945332 is about 6851.6663666586. Note that the first 3 decimals coincide. The cubic root of 46945332 is about 360.7426336556.

The spelling of 46945332 in words is "forty-six million, nine hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 2957 3969 5292 5914 7938 8871 11828 15876 17742 20699 26613 35484 41398 53226 62097 79839 82796 106452 124194 144893 159678 186291 239517 248388 289786 319356 372582 434679 479034 558873 579572 745164 869358 958068 1117746 1304037 1676619 1738716 2235492 2608074 3353238 3912111 5216148 6706476 7824222 11736333 15648444 23472666 46945332