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401025996 = 22327347691
BaseRepresentation
bin10111111001110…
…010101111001100
31000221121020020200
4113321302233030
51310130312441
6103443213500
712636444000
oct2771625714
91027536220
10401025996
11196406848
12b2377290
13651105b7
143b390700
15253177b6
hex17e72bcc

401025996 has 144 divisors (see below), whose sum is σ = 1209062400. Its totient is φ = 111978720.

The previous prime is 401025983. The next prime is 401025997. The reversal of 401025996 is 699520104.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 401025996.

It is not an unprimeable number, because it can be changed into a prime (401025997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580011 + ... + 580701.

Almost surely, 2401025996 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 401025996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604531200).

401025996 is an abundant number, since it is smaller than the sum of its proper divisors (808036404).

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

401025996 is a wasteful number, since it uses less digits than its factorization.

401025996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 401025996 is about 20025.6334731264. The cubic root of 401025996 is about 737.4357288049.

The spelling of 401025996 in words is "four hundred one million, twenty-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 49 63 84 94 98 126 141 147 188 196 252 282 294 329 343 423 441 564 588 658 686 691 846 882 987 1029 1316 1372 1382 1692 1764 1974 2058 2073 2303 2764 2961 3087 3948 4116 4146 4606 4837 5922 6174 6219 6909 8292 9212 9674 11844 12348 12438 13818 14511 16121 19348 20727 24876 27636 29022 32242 32477 33859 41454 43533 48363 58044 64484 64954 67718 82908 87066 96726 97431 101577 129908 135436 145089 174132 193452 194862 203154 227339 237013 290178 292293 304731 389724 406308 454678 474026 580356 584586 609462 682017 711039 909356 948052 1169172 1218924 1364034 1422078 1591373 2046051 2133117 2728068 2844156 3182746 4092102 4266234 4774119 6365492 8184204 8532468 9548238 11139611 14322357 19096476 22279222 28644714 33418833 44558444 57289428 66837666 100256499 133675332 200512998 401025996