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96537440 = 2552337709
BaseRepresentation
bin1011100000100…
…00101101100000
320201122121110202
411300100231200
5144203144230
613325044332
72251361156
oct560205540
9221577422
1096537440
114a54700a
12283b66a8
131700075c
14cb6d3d6
15871da45
hex5c10b60

96537440 has 96 divisors (see below), whose sum is σ = 244762560. Its totient is φ = 35887104.

The previous prime is 96537439. The next prime is 96537443. The reversal of 96537440 is 4473569.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 96537394 and 96537403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96537443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135806 + ... + 136514.

It is an arithmetic number, because the mean of its divisors is an integer number (2549610).

Almost surely, 296537440 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 96537440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122381280).

96537440 is an abundant number, since it is smaller than the sum of its proper divisors (148225120).

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

96537440 is a wasteful number, since it uses less digits than its factorization.

96537440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 96537440 is about 9825.3468132173. The cubic root of 96537440 is about 458.7385730213.

The spelling of 96537440 in words is "ninety-six million, five hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 37 40 46 74 80 92 115 148 160 184 185 230 296 368 370 460 592 709 736 740 851 920 1184 1418 1480 1702 1840 2836 2960 3404 3545 3680 4255 5672 5920 6808 7090 8510 11344 13616 14180 16307 17020 22688 26233 27232 28360 32614 34040 52466 56720 65228 68080 81535 104932 113440 130456 131165 136160 163070 209864 260912 262330 326140 419728 521824 524660 603359 652280 839456 1049320 1206718 1304560 2098640 2413436 2609120 3016795 4197280 4826872 6033590 9653744 12067180 19307488 24134360 48268720 96537440