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1457151450 = 235225737799
BaseRepresentation
bin101011011011010…
…0101110111011010
310202112212222000020
41112312211313122
510441012321300
6400331451310
751052403646
oct12666456732
93675788006
101457151450
116885844a7
12347bb6b36
131a2b6bcc1
14db74bc26
1587dd38a0
hex56da5dda

1457151450 has 48 divisors (see below), whose sum is σ = 3627892800. Its totient is φ = 387051520.

The previous prime is 1457151329. The next prime is 1457151461. The reversal of 1457151450 is 541517541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19651 + ... + 57449.

It is an arithmetic number, because the mean of its divisors is an integer number (75581100).

Almost surely, 21457151450 is an apocalyptic number.

1457151450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457151450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813946400).

1457151450 is an abundant number, since it is smaller than the sum of its proper divisors (2170741350).

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

1457151450 is a wasteful number, since it uses less digits than its factorization.

1457151450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38071 (or 38066 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 1457151450 is about 38172.6531695139. The cubic root of 1457151450 is about 1133.7089215558.

Adding to 1457151450 its reverse (541517541), we get a palindrome (1998668991).

The spelling of 1457151450 in words is "one billion, four hundred fifty-seven million, one hundred fifty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 257 514 771 1285 1542 2570 3855 6425 7710 12850 19275 37799 38550 75598 113397 188995 226794 377990 566985 944975 1133970 1889950 2834925 5669850 9714343 19428686 29143029 48571715 58286058 97143430 145715145 242858575 291430290 485717150 728575725 1457151450