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401769312 = 25375471093
BaseRepresentation
bin10111111100101…
…000001101100000
31000222222222212220
4113330220031200
51310323104222
6103511151040
712645661050
oct2774501540
91028888786
10401769312
1119687425a
12b2675480
1365310a29
143b505560
1525412b5c
hex17f28360

401769312 has 96 divisors (see below), whose sum is σ = 1208616192. Its totient is φ = 114476544.

The previous prime is 401769299. The next prime is 401769317. The reversal of 401769312 is 213967104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4017693122 = 322837160129906688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401769317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367038 + ... + 368130.

It is an arithmetic number, because the mean of its divisors is an integer number (12589752).

Almost surely, 2401769312 is an apocalyptic number.

401769312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401769312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604308096).

401769312 is an abundant number, since it is smaller than the sum of its proper divisors (806846880).

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

401769312 is a wasteful number, since it uses less digits than its factorization.

401769312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 401769312 is about 20044.1839943660. The cubic root of 401769312 is about 737.8910687409.

The spelling of 401769312 in words is "four hundred one million, seven hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 547 672 1093 1094 1641 2186 2188 3279 3282 3829 4372 4376 6558 6564 7651 7658 8744 8752 11487 13116 13128 15302 15316 17488 17504 22953 22974 26232 26256 30604 30632 34976 45906 45948 52464 52512 61208 61264 91812 91896 104928 122416 122528 183624 183792 244832 367248 367584 597871 734496 1195742 1793613 2391484 3587226 4185097 4782968 7174452 8370194 9565936 12555291 14348904 16740388 19131872 25110582 28697808 33480776 50221164 57395616 66961552 100442328 133923104 200884656 401769312