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45233504 = 252979617
BaseRepresentation
bin1010110010001…
…1010101100000
310011010002200222
42230203111200
543034433004
64253302212
71056323051
oct254432540
9104102628
1045233504
1123595668
1213194968
1394a99b4
146016728
153e877be
hex2b23560

45233504 has 48 divisors (see below), whose sum is σ = 93441600. Its totient is φ = 21525504.

The previous prime is 45233497. The next prime is 45233521. The reversal of 45233504 is 40533254.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73004 + ... + 73620.

It is an arithmetic number, because the mean of its divisors is an integer number (1946700).

Almost surely, 245233504 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 45233504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46720800).

45233504 is an abundant number, since it is smaller than the sum of its proper divisors (48208096).

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

45233504 is a wasteful number, since it uses less digits than its factorization.

45233504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 45233504 is about 6725.5857737449. The cubic root of 45233504 is about 356.3034907266.

Adding to 45233504 its reverse (40533254), we get a palindrome (85766758).

The spelling of 45233504 in words is "forty-five million, two hundred thirty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 29 32 58 79 116 158 232 316 464 617 632 928 1234 1264 2291 2468 2528 4582 4936 9164 9872 17893 18328 19744 35786 36656 48743 71572 73312 97486 143144 194972 286288 389944 572576 779888 1413547 1559776 2827094 5654188 11308376 22616752 45233504