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401997568 = 287273439
BaseRepresentation
bin10111111101011…
…111111100000000
31001000102120222211
4113331133330000
51310402410233
6103520111504
712650631400
oct2775377400
91030376884
10401997568
11196a0a7a5
12b2765594
13653908ab
143b564800
152545a5cd
hex17f5ff00

401997568 has 108 divisors (see below), whose sum is σ = 948375120. Its totient is φ = 169537536.

The previous prime is 401997551. The next prime is 401997569. The reversal of 401997568 is 865799104.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401997569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 915493 + ... + 915931.

Almost surely, 2401997568 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 401997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474187560).

401997568 is an abundant number, since it is smaller than the sum of its proper divisors (546377552).

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

401997568 is an equidigital number, since it uses as much as digits as its factorization.

401997568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The square root of 401997568 is about 20049.8770071041. The cubic root of 401997568 is about 738.0307809029.

The spelling of 401997568 in words is "four hundred one million, nine hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 73 98 112 128 146 196 224 256 292 392 439 448 511 584 784 878 896 1022 1168 1568 1756 1792 2044 2336 3073 3136 3512 3577 4088 4672 6146 6272 7024 7154 8176 9344 12292 12544 14048 14308 16352 18688 21511 24584 28096 28616 32047 32704 43022 49168 56192 57232 64094 65408 86044 98336 112384 114464 128188 130816 172088 196672 224329 228928 256376 344176 393344 448658 457856 512752 688352 786688 897316 915712 1025504 1376704 1570303 1794632 2051008 2753408 3140606 3589264 4102016 5506816 6281212 7178528 8204032 12562424 14357056 25124848 28714112 50249696 57428224 100499392 200998784 401997568