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7429104 = 243329593
BaseRepresentation
bin11100010101101111110000
3111222102211000
4130111233300
53400212404
6423122000
7120101124
oct34255760
914872730
107429104
114214661
1225a3300
131701627
14db5584
159bb339
hex715bf0

7429104 has 80 divisors (see below), whose sum is σ = 22096800. Its totient is φ = 2386944.

The previous prime is 7429091. The next prime is 7429109. The reversal of 7429104 is 4019247.

It is a happy number.

It is a super-4 number, since 4×74291044 (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7429109) 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, 12232 + ... + 12824.

It is an arithmetic number, because the mean of its divisors is an integer number (276210).

Almost surely, 27429104 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 7429104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048400).

7429104 is an abundant number, since it is smaller than the sum of its proper divisors (14667696).

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

7429104 is a wasteful number, since it uses less digits than its factorization.

7429104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7429104 is about 2725.6382738727. The cubic root of 7429104 is about 195.1246540256.

The spelling of 7429104 in words is "seven million, four hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 593 696 783 1044 1186 1392 1566 1779 2088 2372 3132 3558 4176 4744 5337 6264 7116 9488 10674 12528 14232 16011 17197 21348 28464 32022 34394 42696 51591 64044 68788 85392 103182 128088 137576 154773 206364 256176 275152 309546 412728 464319 619092 825456 928638 1238184 1857276 2476368 3714552 7429104