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45969408 = 212322943
BaseRepresentation
bin1010111101011…
…1000000000000
310012111111011200
42233113000000
543232010113
64321141200
71065506412
oct257270000
9105444150
1045969408
1123a48551
121348a800
1396a6944
1461689b2
154080873
hex2bd7000

45969408 has 156 divisors (see below), whose sum is σ = 140557560. Its totient is φ = 14450688.

The previous prime is 45969403. The next prime is 45969409. The reversal of 45969408 is 80496954.

It is a happy number.

It is a super-2 number, since 2×459694082 = 4226372943740928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45969401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1069035 + ... + 1069077.

It is an arithmetic number, because the mean of its divisors is an integer number (901010).

Almost surely, 245969408 is an apocalyptic number.

45969408 is a gapful number since it is divisible by the number (48) 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 45969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70278780).

45969408 is an abundant number, since it is smaller than the sum of its proper divisors (94588152).

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

45969408 is a wasteful number, since it uses less digits than its factorization.

45969408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 45969408 is about 6780.0743358757. The cubic root of 45969408 is about 358.2253400664.

The spelling of 45969408 in words is "forty-five million, nine hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 43 48 58 64 72 86 87 96 116 128 129 144 172 174 192 232 256 258 261 288 344 348 384 387 464 512 516 522 576 688 696 768 774 928 1024 1032 1044 1152 1247 1376 1392 1536 1548 1856 2048 2064 2088 2304 2494 2752 2784 3072 3096 3712 3741 4096 4128 4176 4608 4988 5504 5568 6144 6192 7424 7482 8256 8352 9216 9976 11008 11136 11223 12288 12384 14848 14964 16512 16704 18432 19952 22016 22272 22446 24768 29696 29928 33024 33408 36864 39904 44032 44544 44892 49536 59392 59856 66048 66816 79808 88064 89088 89784 99072 118784 119712 132096 133632 159616 176128 178176 179568 198144 239424 264192 267264 319232 356352 359136 396288 478848 528384 534528 638464 718272 792576 957696 1069056 1276928 1436544 1585152 1915392 2553856 2873088 3830784 5107712 5746176 7661568 11492352 15323136 22984704 45969408