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5485440 = 27352857
BaseRepresentation
bin10100111011001110000000
3101022200121110
4110323032000
52401013230
6313323320
764424352
oct24731600
911280543
105485440
113107324
121a06540
1311a0a2c
14a2b0d2
157354b0
hex53b380

5485440 has 64 divisors (see below), whose sum is σ = 17490960. Its totient is φ = 1462272.

The previous prime is 5485429. The next prime is 5485451. The reversal of 5485440 is 445845.

It is an interprime number because it is at equal distance from previous prime (5485429) and next prime (5485451).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5485398 and 5485407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492 + ... + 3348.

Almost surely, 25485440 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 5485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8745480).

5485440 is an abundant number, since it is smaller than the sum of its proper divisors (12005520).

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

5485440 is a wasteful number, since it uses less digits than its factorization.

5485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 5485440 is about 2342.1016203402. The cubic root of 5485440 is about 176.3615158668.

The spelling of 5485440 in words is "five million, four hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2857 5714 8571 11428 14285 17142 22856 28570 34284 42855 45712 57140 68568 85710 91424 114280 137136 171420 182848 228560 274272 342840 365696 457120 548544 685680 914240 1097088 1371360 1828480 2742720 5485440