Search a number
-
+
401895368 = 23717735783
BaseRepresentation
bin10111111101000…
…110111111001000
31001000020101210122
4113331012333020
51310341122433
6103514002412
712650024420
oct2775067710
91030211718
10401895368
1119694aa36
12b2716408
1365356214
143b539480
152543a198
hex17f46fc8

401895368 has 64 divisors (see below), whose sum is σ = 924514560. Its totient is φ = 159860736.

The previous prime is 401895341. The next prime is 401895371. The reversal of 401895368 is 863598104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66605 + ... + 72387.

It is an arithmetic number, because the mean of its divisors is an integer number (14445540).

Almost surely, 2401895368 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 401895368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462257280).

401895368 is an abundant number, since it is smaller than the sum of its proper divisors (522619192).

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

401895368 is a wasteful number, since it uses less digits than its factorization.

401895368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 401895368 is about 20047.3282010347. The cubic root of 401895368 is about 737.9682323167.

The spelling of 401895368 in words is "four hundred one million, eight hundred ninety-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 73 119 136 146 238 292 476 511 584 952 1022 1241 2044 2482 4088 4964 5783 8687 9928 11566 17374 23132 34748 40481 46264 69496 80962 98311 161924 196622 323848 393244 422159 688177 786488 844318 1376354 1688636 2752708 2955113 3377272 5505416 5910226 7176703 11820452 14353406 23640904 28706812 50236921 57413624 100473842 200947684 401895368