Search a number
-
+
402474112 = 2719732267
BaseRepresentation
bin10111111111010…
…100010010000000
31001001022210200121
4113333110102000
51311013132422
6103534230024
712654654625
oct2777242200
91031283617
10402474112
11197205837
12b2955314
13654c9781
143b64a34c
15255018c7
hex17fd4480

402474112 has 64 divisors (see below), whose sum is σ = 855943200. Its totient is φ = 187951104.

The previous prime is 402474101. The next prime is 402474139. The reversal of 402474112 is 211474204.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176403 + ... + 178669.

Almost surely, 2402474112 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 402474112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427971600).

402474112 is an abundant number, since it is smaller than the sum of its proper divisors (453469088).

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

402474112 is a wasteful number, since it uses less digits than its factorization.

402474112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 402474112 is about 20061.7574504329. The cubic root of 402474112 is about 738.3222961468.

The spelling of 402474112 in words is "four hundred two million, four hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 73 76 128 146 152 292 304 584 608 1168 1216 1387 2267 2336 2432 2774 4534 4672 5548 9068 9344 11096 18136 22192 36272 43073 44384 72544 86146 88768 145088 165491 172292 177536 290176 330982 344584 661964 689168 1323928 1378336 2647856 2756672 3144329 5295712 5513344 6288658 10591424 12577316 21182848 25154632 50309264 100618528 201237056 402474112