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390212748 = 223329314019
BaseRepresentation
bin10111010000100…
…010110010001100
31000012020212021000
4113100202302030
51244343301443
6102415340300
712445516332
oct2720426214
91005225230
10390212748
111902a0682
12aa821690
1362ac5823
1439b77b52
15243cd8d3
hex17422c8c

390212748 has 96 divisors (see below), whose sum is σ = 1080576000. Its totient is φ = 121504320.

The previous prime is 390212741. The next prime is 390212749. The reversal of 390212748 is 847212093.

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

It is not an unprimeable number, because it can be changed into a prime (390212741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95083 + ... + 99101.

It is an arithmetic number, because the mean of its divisors is an integer number (11256000).

Almost surely, 2390212748 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 390212748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540288000).

390212748 is an abundant number, since it is smaller than the sum of its proper divisors (690363252).

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

390212748 is a wasteful number, since it uses less digits than its factorization.

390212748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 390212748 is about 19753.8033806151. The cubic root of 390212748 is about 730.7471851737.

The spelling of 390212748 in words is "three hundred ninety million, two hundred twelve thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 31 36 54 58 62 87 93 108 116 124 174 186 261 279 348 372 522 558 783 837 899 1044 1116 1566 1674 1798 2697 3132 3348 3596 4019 5394 8038 8091 10788 12057 16076 16182 24114 24273 32364 36171 48228 48546 72342 97092 108513 116551 124589 144684 217026 233102 249178 349653 373767 434052 466204 498356 699306 747534 1048959 1121301 1398612 1495068 2097918 2242602 3146877 3363903 3613081 4195836 4485204 6293754 6727806 7226162 10839243 12587508 13455612 14452324 21678486 32517729 43356972 65035458 97553187 130070916 195106374 390212748