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39952248 = 2337253641
BaseRepresentation
bin1001100001100…
…1111101111000
32210011210011220
42120121331320
540211432443
63544152040
7663405600
oct230317570
983153156
1039952248
1120608796
1211468620
13837abab
14543dc00
153792a83
hex2619f78

39952248 has 96 divisors (see below), whose sum is σ = 118564560. Its totient is φ = 11182080.

The previous prime is 39952247. The next prime is 39952271. The reversal of 39952248 is 84225993.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39952247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62008 + ... + 62648.

Almost surely, 239952248 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 39952248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59282280).

39952248 is an abundant number, since it is smaller than the sum of its proper divisors (78612312).

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

39952248 is a wasteful number, since it uses less digits than its factorization.

39952248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 706 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 39952248 is about 6320.7790659064. The cubic root of 39952248 is about 341.8590438585.

The spelling of 39952248 in words is "thirty-nine million, nine hundred fifty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 84 98 106 147 159 168 196 212 294 318 371 392 424 588 636 641 742 1113 1176 1272 1282 1484 1923 2226 2564 2597 2968 3846 4452 4487 5128 5194 7692 7791 8904 8974 10388 13461 15384 15582 17948 20776 26922 31164 31409 33973 35896 53844 62328 62818 67946 94227 101919 107688 125636 135892 188454 203838 237811 251272 271784 376908 407676 475622 713433 753816 815352 951244 1426866 1664677 1902488 2853732 3329354 4994031 5707464 6658708 9988062 13317416 19976124 39952248