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74914048 = 281137719
BaseRepresentation
bin1000111011100…
…01100100000000
312012222000202101
410131301210000
5123134222143
611233400144
71566521206
oct435614400
9165860671
1074914048
1139318040
1221109054
131269c451
149d41076
15689bb4d
hex4771900

74914048 has 72 divisors (see below), whose sum is σ = 167771520. Its totient is φ = 33085440.

The previous prime is 74914043. The next prime is 74914067. The reversal of 74914048 is 84041947.

It is a super-2 number, since 2×749140482 = 11224229175492608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 74913998 and 74914016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74914043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103833 + ... + 104551.

It is an arithmetic number, because the mean of its divisors is an integer number (2330160).

Almost surely, 274914048 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 74914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83885760).

74914048 is an abundant number, since it is smaller than the sum of its proper divisors (92857472).

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

74914048 is a wasteful number, since it uses less digits than its factorization.

74914048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 74914048 is about 8655.2901742229. The cubic root of 74914048 is about 421.5551716826. Note that the first 3 decimals are identical.

The spelling of 74914048 in words is "seventy-four million, nine hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 592 704 719 814 1184 1408 1438 1628 2368 2816 2876 3256 4736 5752 6512 7909 9472 11504 13024 15818 23008 26048 26603 31636 46016 52096 53206 63272 92032 104192 106412 126544 184064 212824 253088 292633 425648 506176 585266 851296 1012352 1170532 1702592 2024704 2341064 3405184 4682128 6810368 9364256 18728512 37457024 74914048