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53574640 = 2457279173
BaseRepresentation
bin1100110001011…
…1101111110000
310201210212120221
43030113233300
5102203342030
65152142424
71220243200
oct314275760
9121725527
1053574640
1128272469
1215b37a14
13b13a492
147188400
154a83e7a
hex3317bf0

53574640 has 120 divisors (see below), whose sum is σ = 147579840. Its totient is φ = 18031104.

The previous prime is 53574637. The next prime is 53574643. The reversal of 53574640 is 4647535.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53574637) and next prime (53574643).

It is a super-2 number, since 2×535746402 = 5740484102259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53574596 and 53574605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53574643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309594 + ... + 309766.

It is an arithmetic number, because the mean of its divisors is an integer number (1229832).

Almost surely, 253574640 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 53574640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73789920).

53574640 is an abundant number, since it is smaller than the sum of its proper divisors (94005200).

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

53574640 is a wasteful number, since it uses less digits than its factorization.

53574640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 53574640 is about 7319.4699261627. The cubic root of 53574640 is about 376.9812531867.

The spelling of 53574640 in words is "fifty-three million, five hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 79 80 98 112 140 158 173 196 245 280 316 346 392 395 490 553 560 632 692 784 790 865 980 1106 1211 1264 1384 1580 1730 1960 2212 2422 2765 2768 3160 3460 3871 3920 4424 4844 5530 6055 6320 6920 7742 8477 8848 9688 11060 12110 13667 13840 15484 16954 19355 19376 22120 24220 27334 30968 33908 38710 42385 44240 48440 54668 61936 67816 68335 77420 84770 95669 96880 109336 135632 136670 154840 169540 191338 218672 273340 309680 339080 382676 478345 546680 669683 678160 765352 956690 1093360 1339366 1530704 1913380 2678732 3348415 3826760 5357464 6696830 7653520 10714928 13393660 26787320 53574640