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5652416 = 267113137
BaseRepresentation
bin10101100011111111000000
3101122011122202
4111203333000
52421334131
6321052332
766021230
oct25437700
911564582
105652416
113210820
121a870a8
13122ba33
14a71cc0
15769bcb
hex563fc0

5652416 has 112 divisors (see below), whose sum is σ = 14825472. Its totient is φ = 2073600.

The previous prime is 5652403. The next prime is 5652421. The reversal of 5652416 is 6142565.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 152750 + ... + 152786.

Almost surely, 25652416 is an apocalyptic number.

5652416 is a gapful number since it is divisible by the number (56) 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 5652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412736).

5652416 is an abundant number, since it is smaller than the sum of its proper divisors (9173056).

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

5652416 is a wasteful number, since it uses less digits than its factorization.

5652416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

The square root of 5652416 is about 2377.4810199032. The cubic root of 5652416 is about 178.1331327363.

The spelling of 5652416 in words is "five million, six hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 37 44 56 62 64 74 77 88 112 124 148 154 176 217 224 248 259 296 308 341 352 407 434 448 496 518 592 616 682 704 814 868 992 1036 1147 1184 1232 1364 1628 1736 1984 2072 2294 2368 2387 2464 2728 2849 3256 3472 4144 4588 4774 4928 5456 5698 6512 6944 8029 8288 9176 9548 10912 11396 12617 13024 13888 16058 16576 18352 19096 21824 22792 25234 26048 32116 36704 38192 45584 50468 64232 73408 76384 88319 91168 100936 128464 152768 176638 182336 201872 256928 353276 403744 513856 706552 807488 1413104 2826208 5652416