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472982004 = 223511311427
BaseRepresentation
bin11100001100010…
…010000111110100
31012221222222100000
4130030102013310
51432040411004
6114533351300
714502165165
oct3414220764
91187888300
10472982004
11222a93420
12112498530
1376cb5511
1446b6176c
152b7ccc39
hex1c3121f4

472982004 has 144 divisors (see below), whose sum is σ = 1397200896. Its totient is φ = 138607200.

The previous prime is 472981997. The next prime is 472982023. The reversal of 472982004 is 400289274.

It is a super-2 number, since 2×4729820042 = 447423952215712032, which contains 22 as substring.

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 472982004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330739 + ... + 332165.

It is an arithmetic number, because the mean of its divisors is an integer number (9702784).

Almost surely, 2472982004 is an apocalyptic number.

472982004 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 472982004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698600448).

472982004 is an abundant number, since it is smaller than the sum of its proper divisors (924218892).

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

472982004 is a wasteful number, since it uses less digits than its factorization.

472982004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1474 counting only the distinct ones).

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

The square root of 472982004 is about 21748.1494385155. The cubic root of 472982004 is about 779.1388721412.

The spelling of 472982004 in words is "four hundred seventy-two million, nine hundred eighty-two thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 243 279 297 324 341 372 396 486 558 594 682 837 891 972 1023 1116 1188 1364 1427 1674 1782 2046 2511 2673 2854 3069 3348 3564 4092 4281 5022 5346 5708 6138 7533 8562 9207 10044 10692 12276 12843 15066 15697 17124 18414 25686 27621 30132 31394 36828 38529 44237 47091 51372 55242 62788 77058 82863 88474 94182 110484 115587 132711 141273 154116 165726 176948 188364 231174 265422 282546 331452 346761 398133 423819 462348 486607 530844 565092 693522 796266 847638 973214 1194399 1271457 1387044 1459821 1592532 1695276 1946428 2388798 2542914 2919642 3583197 3814371 4379463 4777596 5085828 5839284 7166394 7628742 8758926 10749591 13138389 14332788 15257484 17517852 21499182 26276778 39415167 42998364 52553556 78830334 118245501 157660668 236491002 472982004