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45849216 = 273737461
BaseRepresentation
bin1010111011100…
…1101010000000
310012021101022010
42232321222000
543214133331
64314412520
71064466120
oct256715200
9105241263
1045849216
1123976216
1213431140
13966401a
146136c80
154059e46
hex2bb9a80

45849216 has 128 divisors (see below), whose sum is σ = 143256960. Its totient is φ = 12718080.

The previous prime is 45849211. The next prime is 45849227. The reversal of 45849216 is 61294854.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (45849211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99226 + ... + 99686.

It is an arithmetic number, because the mean of its divisors is an integer number (1119195).

Almost surely, 245849216 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 45849216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71628480).

45849216 is an abundant number, since it is smaller than the sum of its proper divisors (97407744).

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

45849216 is a wasteful number, since it uses less digits than its factorization.

45849216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 510 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 45849216 is about 6771.2049149321. The cubic root of 45849216 is about 357.9128612445.

The spelling of 45849216 in words is "forty-five million, eight hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 259 296 336 384 444 448 461 518 592 672 777 888 896 922 1036 1184 1344 1383 1554 1776 1844 2072 2368 2688 2766 3108 3227 3552 3688 4144 4736 5532 6216 6454 7104 7376 8288 9681 11064 12432 12908 14208 14752 16576 17057 19362 22128 24864 25816 29504 33152 34114 38724 44256 49728 51171 51632 59008 68228 77448 88512 99456 102342 103264 119399 136456 154896 177024 204684 206528 238798 272912 309792 358197 409368 413056 477596 545824 619584 716394 818736 955192 1091648 1239168 1432788 1637472 1910384 2183296 2865576 3274944 3820768 5731152 6549888 7641536 11462304 15283072 22924608 45849216