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85553440 = 255776387
BaseRepresentation
bin1010001100101…
…11000100100000
312221222120020221
411012113010200
5133400202230
612253412424
72056122640
oct506270440
9187876227
1085553440
1144324625
122479a114
131495604b
14b510520
15779e27a
hex5197120

85553440 has 48 divisors (see below), whose sum is σ = 230997312. Its totient is φ = 29332224.

The previous prime is 85553437. The next prime is 85553441. The reversal of 85553440 is 4435558.

It is a junction number, because it is equal to n+sod(n) for n = 85553396 and 85553405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85553441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37074 + ... + 39313.

It is an arithmetic number, because the mean of its divisors is an integer number (4812444).

Almost surely, 285553440 is an apocalyptic number.

85553440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85553440 is an abundant number, since it is smaller than the sum of its proper divisors (145443872).

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

85553440 is a wasteful number, since it uses less digits than its factorization.

85553440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76409 (or 76401 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 85553440 is about 9249.5102573055. The cubic root of 85553440 is about 440.6351707995.

Adding to 85553440 its reverse (4435558), we get a palindrome (89988998).

The spelling of 85553440 in words is "eighty-five million, five hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 76387 152774 305548 381935 534709 611096 763870 1069418 1222192 1527740 2138836 2444384 2673545 3055480 4277672 5347090 6110960 8555344 10694180 12221920 17110688 21388360 42776720 85553440