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42639744 = 273729547
BaseRepresentation
bin1010001010101…
…0000110000000
32222020022201210
42202222012000
541403432434
64121530120
71025301060
oct242520600
988208653
1042639744
1122083964
1212343940
138aac224
14593d3a0
153b23ee9
hex28aa180

42639744 has 128 divisors (see below), whose sum is σ = 134150400. Its totient is φ = 11741184.

The previous prime is 42639733. The next prime is 42639761. The reversal of 42639744 is 44793624.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77679 + ... + 78225.

It is an arithmetic number, because the mean of its divisors is an integer number (1048050).

Almost surely, 242639744 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 42639744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67075200).

42639744 is an abundant number, since it is smaller than the sum of its proper divisors (91510656).

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

42639744 is a wasteful number, since it uses less digits than its factorization.

42639744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 588 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 42639744 is about 6529.9114848518. The cubic root of 42639744 is about 349.3586731937.

The spelling of 42639744 in words is "forty-two million, six hundred thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 547 609 672 696 812 896 928 1094 1218 1344 1392 1624 1641 1856 2188 2436 2688 2784 3248 3282 3712 3829 4376 4872 5568 6496 6564 7658 8752 9744 11136 11487 12992 13128 15316 15863 17504 19488 22974 25984 26256 30632 31726 35008 38976 45948 47589 52512 61264 63452 70016 77952 91896 95178 105024 111041 122528 126904 183792 190356 210048 222082 245056 253808 333123 367584 380712 444164 490112 507616 666246 735168 761424 888328 1015232 1332492 1470336 1522848 1776656 2030464 2664984 3045696 3553312 5329968 6091392 7106624 10659936 14213248 21319872 42639744