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46969056 = 2532712297
BaseRepresentation
bin1011001100101…
…1000011100000
310021101021102200
42303023003200
544011002211
64354413200
71110142011
oct263130340
9107337380
1046969056
1124570602
1213891200
139966954
146349008
1541cbb56
hex2ccb0e0

46969056 has 72 divisors (see below), whose sum is σ = 135508464. Its totient is φ = 15429120.

The previous prime is 46969051. The next prime is 46969057. The reversal of 46969056 is 65096964.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×469690562 = 4412184443062272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46969051) 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 11 ways as a sum of consecutive naturals, for example, 19300 + ... + 21596.

It is an arithmetic number, because the mean of its divisors is an integer number (1882062).

Almost surely, 246969056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46969056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67754232).

46969056 is an abundant number, since it is smaller than the sum of its proper divisors (88539408).

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

46969056 is a wasteful number, since it uses less digits than its factorization.

46969056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 46969056 is about 6853.3974056668. The cubic root of 46969056 is about 360.8033909708.

The spelling of 46969056 in words is "forty-six million, nine hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2297 2556 3408 4594 5112 6816 6891 9188 10224 13782 18376 20448 20673 27564 36752 41346 55128 73504 82692 110256 163087 165384 220512 326174 330768 489261 652348 661536 978522 1304696 1467783 1957044 2609392 2935566 3914088 5218784 5871132 7828176 11742264 15656352 23484528 46969056