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39949056 = 283272477
BaseRepresentation
bin1001100001100…
…1001100000000
32210011121210200
42120121030000
540211332211
63544125200
7663363360
oct230311400
983147720
1039949056
1120606354
1211466800
1383795c4
14543c9a0
153791b56
hex2619300

39949056 has 108 divisors (see below), whose sum is σ = 131690832. Its totient is φ = 11409408.

The previous prime is 39949033. The next prime is 39949057. The reversal of 39949056 is 65094993.

It is a happy number.

It is a super-2 number, since 2×399490562 = 3191854150582272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (39949057) 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, 14890 + ... + 17366.

Almost surely, 239949056 is an apocalyptic number.

39949056 is a gapful number since it is divisible by the number (36) 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 39949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65845416).

39949056 is an abundant number, since it is smaller than the sum of its proper divisors (91741776).

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

39949056 is a wasteful number, since it uses less digits than its factorization.

39949056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 39949056 is about 6320.5265603429. The cubic root of 39949056 is about 341.8499392967.

It can be divided in two parts, 399 and 49056, that added together give a triangular number (49455 = T314).

The spelling of 39949056 in words is "thirty-nine million, nine hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2477 2688 4032 4954 5376 7431 8064 9908 14862 16128 17339 19816 22293 29724 34678 39632 44586 52017 59448 69356 79264 89172 104034 118896 138712 156051 158528 178344 208068 237792 277424 312102 317056 356688 416136 475584 554848 624204 634112 713376 832272 951168 1109696 1248408 1426752 1664544 1902336 2219392 2496816 2853504 3329088 4438784 4993632 5707008 6658176 9987264 13316352 19974528 39949056