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57734424 = 2333112472
BaseRepresentation
bin1101110000111…
…1010100011000
311000122012202000
43130033110120
5104240000144
65421241000
71300506636
oct334172430
9130565660
1057734424
112a653800
1217403160
13bc659a7
14794c356
155106769
hex370f518

57734424 has 144 divisors (see below), whose sum is σ = 180108600. Its totient is φ = 17123040.

The previous prime is 57734419. The next prime is 57734441. The reversal of 57734424 is 42443775.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

57734424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×577344244 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1228369 + ... + 1228415.

Almost surely, 257734424 is an apocalyptic number.

57734424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57734424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90054300).

57734424 is an abundant number, since it is smaller than the sum of its proper divisors (122374176).

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

57734424 is a wasteful number, since it uses less digits than its factorization.

57734424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 63 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 57734424 is about 7598.3171821134. The cubic root of 57734424 is about 386.4959485503.

The spelling of 57734424 in words is "fifty-seven million, seven hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 47 54 66 72 88 94 99 108 121 132 141 188 198 216 242 264 282 297 363 376 396 423 484 517 564 594 726 792 846 968 1034 1089 1128 1188 1269 1452 1551 1692 2068 2178 2209 2376 2538 2904 3102 3267 3384 4136 4356 4418 4653 5076 5687 6204 6534 6627 8712 8836 9306 10152 11374 12408 13068 13254 13959 17061 17672 18612 19881 22748 24299 26136 26508 27918 34122 37224 39762 45496 48598 51183 53016 55836 59643 68244 72897 79524 97196 102366 111672 119286 136488 145794 153549 159048 194392 204732 218691 238572 267289 291588 307098 409464 437382 477144 534578 583176 614196 656073 801867 874764 1069156 1228392 1312146 1603734 1749528 2138312 2405601 2624292 3207468 4811202 5248584 6414936 7216803 9622404 14433606 19244808 28867212 57734424