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5649440 = 255173167
BaseRepresentation
bin10101100011010000100000
3101122000120112
4111203100200
52421240230
6321030452
766006446
oct25432040
911560515
105649440
113209565
121a85428
13122a584
14a70b96
15768d95
hex563420

5649440 has 96 divisors (see below), whose sum is σ = 14805504. Its totient is φ = 2027520.

The previous prime is 5649439. The next prime is 5649451. The reversal of 5649440 is 449465.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5649397 and 5649406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84287 + ... + 84353.

It is an arithmetic number, because the mean of its divisors is an integer number (154224).

Almost surely, 25649440 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 5649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402752).

5649440 is an abundant number, since it is smaller than the sum of its proper divisors (9156064).

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

5649440 is a wasteful number, since it uses less digits than its factorization.

5649440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 5649440 is about 2376.8550649966. The cubic root of 5649440 is about 178.1018648521.

The spelling of 5649440 in words is "five million, six hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 67 68 80 85 124 134 136 155 160 170 248 268 272 310 335 340 496 527 536 544 620 670 680 992 1054 1072 1139 1240 1340 1360 2077 2108 2144 2278 2480 2635 2680 2720 4154 4216 4556 4960 5270 5360 5695 8308 8432 9112 10385 10540 10720 11390 16616 16864 18224 20770 21080 22780 33232 35309 36448 41540 42160 45560 66464 70618 83080 84320 91120 141236 166160 176545 182240 282472 332320 353090 564944 706180 1129888 1412360 2824720 5649440