Search a number
-
+
74649000 = 23353149167
BaseRepresentation
bin1000111001100…
…00110110101000
312012110120011210
410130300312220
5123102232000
611223553120
71564335366
oct434606650
9165416153
1074649000
1139156998
1220bbb7a0
131260890a
149cb2636
156848350
hex4730da8

74649000 has 128 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 19654400.

The previous prime is 74648927. The next prime is 74649011. The reversal of 74649000 is 94647.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446917 + ... + 447083.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 274649000 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 74649000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

74649000 is an abundant number, since it is smaller than the sum of its proper divisors (161223000).

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

74649000 is a wasteful number, since it uses less digits than its factorization.

74649000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 74649000 is about 8639.9652777080. The cubic root of 74649000 is about 421.0574262064.

The spelling of 74649000 in words is "seventy-four million, six hundred forty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 149 150 167 200 250 298 300 334 375 447 500 501 596 600 668 745 750 835 894 1000 1002 1192 1336 1490 1500 1670 1788 2004 2235 2505 2980 3000 3340 3576 3725 4008 4175 4470 5010 5960 6680 7450 8350 8940 10020 11175 12525 14900 16700 17880 18625 20040 20875 22350 24883 25050 29800 33400 37250 41750 44700 49766 50100 55875 62625 74500 74649 83500 89400 99532 100200 111750 124415 125250 149000 149298 167000 199064 223500 248830 250500 298596 373245 447000 497660 501000 597192 622075 746490 995320 1244150 1492980 1866225 2488300 2985960 3110375 3732450 4976600 6220750 7464900 9331125 12441500 14929800 18662250 24883000 37324500 74649000