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45154304 = 2161353
BaseRepresentation
bin1010110001000…
…0000000000000
310010222002001122
42230100000000
543024414204
64251451412
71055543126
oct254200000
9103862048
1045154304
1123541108
1213156b68
13947c930
145dd5916
153e6e0be
hex2b10000

45154304 has 68 divisors (see below), whose sum is σ = 99089676. Its totient is φ = 20447232.

The previous prime is 45154283. The next prime is 45154309. The reversal of 45154304 is 40345154.

It can be written as a sum of positive squares in 2 ways, for example, as 18939904 + 26214400 = 4352^2 + 5120^2 .

It is a super-2 number, since 2×451543042 = 4077822339448832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45154309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 851942 + ... + 851994.

Almost surely, 245154304 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 45154304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49544838).

45154304 is an abundant number, since it is smaller than the sum of its proper divisors (53935372).

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

45154304 is an frugal number, since it uses more digits than its factorization.

45154304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 45154304 is about 6719.6952311842. The cubic root of 45154304 is about 356.0954169182.

Adding to 45154304 its reverse (40345154), we get a palindrome (85499458).

The spelling of 45154304 in words is "forty-five million, one hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 256 416 424 512 689 832 848 1024 1378 1664 1696 2048 2756 3328 3392 4096 5512 6656 6784 8192 11024 13312 13568 16384 22048 26624 27136 32768 44096 53248 54272 65536 88192 106496 108544 176384 212992 217088 352768 425984 434176 705536 851968 868352 1411072 1736704 2822144 3473408 5644288 11288576 22577152 45154304