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28480440 = 23351723607
BaseRepresentation
bin110110010100…
…1001110111000
31222120221211010
41230221032320
524242333230
62454233520
7464036232
oct154511670
958527733
1028480440
111509285a
1296558a0
135b92441
143ad5252
1527789b0
hex1b293b8

28480440 has 128 divisors (see below), whose sum is σ = 94556160. Its totient is φ = 6825984.

The previous prime is 28480429. The next prime is 28480469. The reversal of 28480440 is 4408482.

It is a super-2 number, since 2×284804402 = 1622270925187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28480398 and 28480407.

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 31 ways as a sum of consecutive naturals, for example, 46617 + ... + 47223.

It is an arithmetic number, because the mean of its divisors is an integer number (738720).

Almost surely, 228480440 is an apocalyptic number.

28480440 is a gapful number since it is divisible by the number (20) 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 28480440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47278080).

28480440 is an abundant number, since it is smaller than the sum of its proper divisors (66075720).

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

28480440 is a wasteful number, since it uses less digits than its factorization.

28480440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 28480440 is about 5336.7068497342. The cubic root of 28480440 is about 305.3858415234.

It can be divided in two parts, 28480 and 440, that added together give a triangular number (28920 = T240).

The spelling of 28480440 in words is "twenty-eight million, four hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 391 408 460 510 552 607 680 690 782 920 1020 1173 1214 1380 1564 1821 1955 2040 2346 2428 2760 3035 3128 3642 3910 4692 4856 5865 6070 7284 7820 9105 9384 10319 11730 12140 13961 14568 15640 18210 20638 23460 24280 27922 30957 36420 41276 41883 46920 51595 55844 61914 69805 72840 82552 83766 103190 111688 123828 139610 154785 167532 206380 209415 237337 247656 279220 309570 335064 412760 418830 474674 558440 619140 712011 837660 949348 1186685 1238280 1424022 1675320 1898696 2373370 2848044 3560055 4746740 5696088 7120110 9493480 14240220 28480440