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398948652 = 22353711093
BaseRepresentation
bin10111110001110…
…111100100101100
31000210200200200000
4113301313210230
51304112324102
6103330504300
712613002414
oct2761674454
91023620600
10398948652
11195218033
12b1735090
1364863bbb
143adad644
152505701c
hex17c7792c

398948652 has 72 divisors (see below), whose sum is σ = 1074165456. Its totient is φ = 129377088.

The previous prime is 398948629. The next prime is 398948659. The reversal of 398948652 is 256849893.

398948652 is a `hidden beast` number, since 39 + 89 + 486 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398948659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30418 + ... + 41510.

Almost surely, 2398948652 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 398948652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537082728).

398948652 is an abundant number, since it is smaller than the sum of its proper divisors (675216804).

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

398948652 is a wasteful number, since it uses less digits than its factorization.

398948652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11149 (or 11135 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 398948652 is about 19973.6990064434. The cubic root of 398948652 is about 736.1602001428.

The spelling of 398948652 in words is "three hundred ninety-eight million, nine hundred forty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 972 999 1332 1998 2997 3996 5994 8991 11093 11988 17982 22186 33279 35964 44372 66558 99837 133116 199674 299511 399348 410441 599022 820882 898533 1198044 1231323 1641764 1797066 2462646 2695599 3594132 3693969 4925292 5391198 7387938 10782396 11081907 14775876 22163814 33245721 44327628 66491442 99737163 132982884 199474326 398948652