Search a number
-
+
402158328 = 2331113373167
BaseRepresentation
bin10111111110000…
…111001011111000
31001000201202111220
4113332013023320
51310423031303
6103523352040
712652201155
oct2776071370
91030652456
10402158328
1119700a560
12b2822620
1365418b10
143b5a722c
152548d053
hex17f872f8

402158328 has 128 divisors (see below), whose sum is σ = 1213470720. Its totient is φ = 109416960.

The previous prime is 402158311. The next prime is 402158347. The reversal of 402158328 is 823851204.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125401 + ... + 128567.

It is an arithmetic number, because the mean of its divisors is an integer number (9480240).

Almost surely, 2402158328 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 402158328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606735360).

402158328 is an abundant number, since it is smaller than the sum of its proper divisors (811312392).

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

402158328 is a wasteful number, since it uses less digits than its factorization.

402158328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 402158328 is about 20053.8856085298. The cubic root of 402158328 is about 738.1291480123.

The spelling of 402158328 in words is "four hundred two million, one hundred fifty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 37 39 44 52 66 74 78 88 104 111 132 143 148 156 222 264 286 296 312 407 429 444 481 572 814 858 888 962 1144 1221 1443 1628 1716 1924 2442 2886 3167 3256 3432 3848 4884 5291 5772 6334 9501 9768 10582 11544 12668 15873 19002 21164 25336 31746 34837 38004 41171 42328 63492 69674 76008 82342 104511 117179 123513 126984 139348 164684 209022 234358 247026 278696 329368 351537 418044 452881 468716 494052 703074 836088 905762 937432 988104 1288969 1358643 1406148 1523327 1811524 2577938 2717286 2812296 3046654 3623048 3866907 4569981 5155876 5434572 6093308 7733814 9139962 10311752 10869144 12186616 15467628 16756597 18279924 30935256 33513194 36559848 50269791 67026388 100539582 134052776 201079164 402158328