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4240942524 = 22327139471367
BaseRepresentation
bin1111110011000111…
…1010010110111100
3101221120002012110100
43330301322112330
532141140130044
61540454041100
7210044262630
oct37461722674
911846065410
104240942524
1118869a0985
129a4349190
13527812560
142c3352dc0
1519c4ba869
hexfcc7a5bc

4240942524 has 144 divisors (see below), whose sum is σ = 13217637888. Its totient is φ = 1116491904.

The previous prime is 4240942523. The next prime is 4240942549. The reversal of 4240942524 is 4252490424.

4240942524 is a `hidden beast` number, since 4 + 2 + 40 + 94 + 2 + 524 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240942523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3101689 + ... + 3103055.

It is an arithmetic number, because the mean of its divisors is an integer number (91789152).

Almost surely, 24240942524 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 4240942524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6608818944).

4240942524 is an abundant number, since it is smaller than the sum of its proper divisors (8976695364).

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

4240942524 is a wasteful number, since it uses less digits than its factorization.

4240942524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4240942524 is about 65122.5193308736. The cubic root of 4240942524 is about 1618.6543878690.

The spelling of 4240942524 in words is "four billion, two hundred forty million, nine hundred forty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 947 1092 1367 1638 1894 2734 2841 3276 3788 4101 5468 5682 6629 8202 8523 9569 11364 12303 12311 13258 16404 17046 17771 19138 19887 24606 24622 26516 28707 34092 35542 36933 38276 39774 49212 49244 53313 57414 59661 71084 73866 79548 86121 86177 106626 110799 114828 119322 124397 147732 159939 172242 172354 213252 221598 238644 248794 258531 319878 344484 344708 373191 443196 497588 517062 639756 746382 775593 1034124 1119573 1294549 1492764 1551186 2239146 2589098 3102372 3883647 4478292 5178196 7767294 9061843 11650941 15534588 16829137 18123686 23301882 27185529 33658274 36247372 46603764 50487411 54371058 67316548 81556587 100974822 108742116 117803959 151462233 163113174 201949644 235607918 302924466 326226348 353411877 471215836 605848932 706823754 1060235631 1413647508 2120471262 4240942524