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402253104 = 2431119101397
BaseRepresentation
bin10111111110011…
…110010100110000
31001000220120112010
4113332132110300
51310434044404
6103525402520
712653044401
oct2776362460
91030816463
10402253104
11197074790
12b2869440
136544ccb6
143b5cd9a8
15254ab189
hex17f9e530

402253104 has 160 divisors (see below), whose sum is σ = 1208136960. Its totient is φ = 114048000.

The previous prime is 402253081. The next prime is 402253129. The reversal of 402253104 is 401352204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1013034 + ... + 1013430.

It is an arithmetic number, because the mean of its divisors is an integer number (7550856).

Almost surely, 2402253104 is an apocalyptic number.

402253104 is a gapful number since it is divisible by the number (44) 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 402253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604068480).

402253104 is an abundant number, since it is smaller than the sum of its proper divisors (805883856).

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

402253104 is a wasteful number, since it uses less digits than its factorization.

402253104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 402253104 is about 20056.2485026487. The cubic root of 402253104 is about 738.1871280237.

The spelling of 402253104 in words is "four hundred two million, two hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 101 114 132 152 176 202 209 228 264 303 304 397 404 418 456 528 606 627 794 808 836 912 1111 1191 1212 1254 1588 1616 1672 1919 2222 2382 2424 2508 3176 3333 3344 3838 4367 4444 4764 4848 5016 5757 6352 6666 7543 7676 8734 8888 9528 10032 11514 13101 13332 15086 15352 17468 17776 19056 21109 22629 23028 26202 26664 30172 30704 34936 40097 42218 45258 46056 52404 53328 60344 63327 69872 80194 82973 84436 90516 92112 104808 120291 120688 126654 160388 165946 168872 181032 209616 240582 248919 253308 320776 331892 337744 362064 441067 481164 497838 506616 641552 663784 761843 882134 962328 995676 1013232 1323201 1327568 1523686 1764268 1924656 1991352 2285529 2646402 3047372 3528536 3982704 4571058 5292804 6094744 7057072 8380273 9142116 10585608 12189488 16760546 18284232 21171216 25140819 33521092 36568464 50281638 67042184 100563276 134084368 201126552 402253104