Search a number
-
+
402948 = 223371341
BaseRepresentation
bin1100010011000000100
3202110202000
41202120010
5100343243
612345300
73265530
oct1423004
9673660
10402948
11255817
12175230
13111540
14a6bc0
157e5d3
hex62604

402948 has 96 divisors (see below), whose sum is σ = 1317120. Its totient is φ = 103680.

The previous prime is 402947. The next prime is 402949. The reversal of 402948 is 849204.

It is an interprime number because it is at equal distance from previous prime (402947) and next prime (402949).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402948.

It is not an unprimeable number, because it can be changed into a prime (402943) 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, 9808 + ... + 9848.

It is an arithmetic number, because the mean of its divisors is an integer number (13720).

2402948 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 402948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658560).

402948 is an abundant number, since it is smaller than the sum of its proper divisors (914172).

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

402948 is a wasteful number, since it uses less digits than its factorization.

402948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 402948 is about 634.7818522926. The cubic root of 402948 is about 73.8611958541.

The spelling of 402948 in words is "four hundred two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 41 42 52 54 63 78 82 84 91 108 117 123 126 156 164 182 189 234 246 252 273 287 351 364 369 378 468 492 533 546 574 702 738 756 819 861 1066 1092 1107 1148 1404 1476 1599 1638 1722 2132 2214 2457 2583 3198 3276 3444 3731 4428 4797 4914 5166 6396 7462 7749 9594 9828 10332 11193 14391 14924 15498 19188 22386 28782 30996 33579 44772 57564 67158 100737 134316 201474 402948