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749700144 = 24334793623
BaseRepresentation
bin101100101011111…
…000010000110000
31221020200201021000
4230223320100300
53013410401034
6202220402000
724402226464
oct5453702060
91836621230
10749700144
113552058a6
1218b0a6300
13bc42116b
14717d44a4
1545c3d599
hex2caf8430

749700144 has 80 divisors (see below), whose sum is σ = 2157004800. Its totient is φ = 249309504.

The previous prime is 749700143. The next prime is 749700163. The reversal of 749700144 is 441007947.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 749700099 and 749700108.

It is not an unprimeable number, because it can be changed into a prime (749700143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205117 + ... + 208739.

It is an arithmetic number, because the mean of its divisors is an integer number (26962560).

Almost surely, 2749700144 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 749700144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078502400).

749700144 is an abundant number, since it is smaller than the sum of its proper divisors (1407304656).

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

749700144 is a wasteful number, since it uses less digits than its factorization.

749700144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 749700144 is about 27380.6527314452. The cubic root of 749700144 is about 908.4391970508.

The spelling of 749700144 in words is "seven hundred forty-nine million, seven hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 479 958 1437 1916 2874 3623 3832 4311 5748 7246 7664 8622 10869 11496 12933 14492 17244 21738 22992 25866 28984 32607 34488 43476 51732 57968 65214 68976 86952 97821 103464 130428 173904 195642 206928 260856 391284 521712 782568 1565136 1735417 3470834 5206251 6941668 10412502 13883336 15618753 20825004 27766672 31237506 41650008 46856259 62475012 83300016 93712518 124950024 187425036 249900048 374850072 749700144