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74204728 = 23131719472
BaseRepresentation
bin1000110110001…
…00011000111000
312011121222202021
410123010120320
5122444022403
611210244224
71560505213
oct433043070
9164558667
1074204728
1138983124
1220a26674
13124b1630
149bd877a
1567ab8bd
hex46c4638

74204728 has 96 divisors (see below), whose sum is σ = 170629200. Its totient is φ = 29887488.

The previous prime is 74204701. The next prime is 74204737. The reversal of 74204728 is 82740247.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 74204693 and 74204702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1578801 + ... + 1578847.

Almost surely, 274204728 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 74204728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85314600).

74204728 is an abundant number, since it is smaller than the sum of its proper divisors (96424472).

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

74204728 is a wasteful number, since it uses less digits than its factorization.

74204728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 74204728 is about 8614.2166213765. The cubic root of 74204728 is about 420.2204587126.

The spelling of 74204728 in words is "seventy-four million, two hundred four thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 17 19 26 34 38 47 52 68 76 94 104 136 152 188 221 247 323 376 442 494 611 646 799 884 893 988 1222 1292 1598 1768 1786 1976 2209 2444 2584 3196 3572 4199 4418 4888 6392 7144 8398 8836 10387 11609 15181 16796 17672 20774 23218 28717 30362 33592 37553 41548 41971 46436 57434 60724 75106 83096 83942 92872 114868 121448 150212 167884 197353 229736 300424 335768 394706 488189 545623 713507 789412 976378 1091246 1427014 1578824 1952756 2182492 2854028 3905512 4364984 5708056 9275591 18551182 37102364 74204728