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74418480 = 24335131263
BaseRepresentation
bin1000110111110…
…00100100110000
312012000211222000
410123320210300
5123022342410
611215014000
71562355333
oct433704460
9165024860
1074418480
1139009784
1220b0a300
1312557a06
149c5261a
1567eedc0
hex46f8930

74418480 has 160 divisors (see below), whose sum is σ = 259269120. Its totient is φ = 19618560.

The previous prime is 74418479. The next prime is 74418511. The reversal of 74418480 is 8481447.

It is a happy number.

It is a super-2 number, since 2×744184802 = 11076220331020800, which contains 22 as substring.

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

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, 282829 + ... + 283091.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 274418480 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 74418480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129634560).

74418480 is an abundant number, since it is smaller than the sum of its proper divisors (184850640).

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

74418480 is a wasteful number, since it uses less digits than its factorization.

74418480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 74418480 is about 8626.6146314762. The cubic root of 74418480 is about 420.6235635485.

The spelling of 74418480 in words is "seventy-four million, four hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 131 135 144 180 216 240 262 263 270 360 393 432 524 526 540 655 720 786 789 1048 1052 1080 1179 1310 1315 1572 1578 1965 2096 2104 2160 2358 2367 2620 2630 3144 3156 3537 3930 3945 4208 4716 4734 5240 5260 5895 6288 6312 7074 7101 7860 7890 9432 9468 10480 10520 11790 11835 12624 14148 14202 15720 15780 17685 18864 18936 21040 23580 23670 28296 28404 31440 31560 34453 35370 35505 37872 47160 47340 56592 56808 63120 68906 70740 71010 94320 94680 103359 113616 137812 141480 142020 172265 189360 206718 275624 282960 284040 310077 344530 413436 516795 551248 568080 620154 689060 826872 930231 1033590 1240308 1378120 1550385 1653744 1860462 2067180 2480616 2756240 3100770 3720924 4134360 4651155 4961232 6201540 7441848 8268720 9302310 12403080 14883696 18604620 24806160 37209240 74418480