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39068352 = 263323983
BaseRepresentation
bin1001010100001…
…0001011000000
32201111212201000
42111002023000
540000141402
63513212000
7653034621
oct225021300
981455630
1039068352
11200646a4
1211101000
13812b78b
14528da48
15366ac1c
hex25422c0

39068352 has 112 divisors (see below), whose sum is σ = 119969280. Its totient is φ = 12443904.

The previous prime is 39068333. The next prime is 39068413. The reversal of 39068352 is 25386093.

It is a super-2 number, since 2×390683522 = 3052672255991808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39253 + ... + 40235.

Almost surely, 239068352 is an apocalyptic number.

39068352 is a gapful number since it is divisible by the number (32) 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 39068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59984640).

39068352 is an abundant number, since it is smaller than the sum of its proper divisors (80900928).

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

39068352 is a wasteful number, since it uses less digits than its factorization.

39068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 39068352 is about 6250.4681424674. The cubic root of 39068352 is about 339.3191449850.

The spelling of 39068352 in words is "thirty-nine million, sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 983 1104 1242 1472 1656 1728 1966 2208 2484 2949 3312 3932 4416 4968 5898 6624 7864 8847 9936 11796 13248 15728 17694 19872 22609 23592 26541 31456 35388 39744 45218 47184 53082 62912 67827 70776 90436 94368 106164 135654 141552 180872 188736 203481 212328 271308 283104 361744 406962 424656 542616 566208 610443 723488 813924 849312 1085232 1220886 1446976 1627848 1698624 2170464 2441772 3255696 4340928 4883544 6511392 9767088 13022784 19534176 39068352