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402472980 = 2232571324571
BaseRepresentation
bin10111111111010…
…100000000010100
31001001022202010200
4113333110000110
51311013113410
6103534220500
712654651420
oct2777240024
91031282120
10402472980
111972049a8
12b2954730
13654c90c0
143b649b80
15255013c0
hex17fd4014

402472980 has 144 divisors (see below), whose sum is σ = 1502626944. Its totient is φ = 84913920.

The previous prime is 402472979. The next prime is 402473063. The reversal of 402472980 is 89274204.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4095 + ... + 28665.

Almost surely, 2402472980 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 402472980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751313472).

402472980 is an abundant number, since it is smaller than the sum of its proper divisors (1100153964).

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

402472980 is a wasteful number, since it uses less digits than its factorization.

402472980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24606 (or 24601 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 402472980 is about 20061.7292375308. The cubic root of 402472980 is about 738.3216039436.

The spelling of 402472980 in words is "four hundred two million, four hundred seventy-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 24571 49142 73713 98284 122855 147426 171997 221139 245710 294852 319423 343994 368565 442278 491420 515991 638846 687988 737130 859985 884556 958269 1031982 1105695 1277692 1474260 1547973 1597115 1719970 1916538 2063964 2211390 2235961 2579955 2874807 3095946 3194230 3439940 3833076 4422780 4471922 4791345 5159910 5749614 6191892 6388460 6707883 7739865 8943844 9582690 10319820 11179805 11499228 13415766 14374035 15479730 19165380 20123649 22359610 26831532 28748070 30959460 33539415 40247298 44719220 57496140 67078830 80494596 100618245 134157660 201236490 402472980