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53798640 = 24357311033
BaseRepresentation
bin1100110100111…
…0011011110000
310202020020212020
43031032123300
5102233024030
65201031440
71222165230
oct315163360
9122206766
1053798640
1128405795
1216025580
13b1b841c
147205cc0
154aca510
hex334e6f0

53798640 has 160 divisors (see below), whose sum is σ = 196939776. Its totient is φ = 11888640.

The previous prime is 53798627. The next prime is 53798653. The reversal of 53798640 is 4689735.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53798627) and next prime (53798653).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 53798592 and 53798601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51564 + ... + 52596.

Almost surely, 253798640 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 53798640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98469888).

53798640 is an abundant number, since it is smaller than the sum of its proper divisors (143141136).

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

53798640 is a wasteful number, since it uses less digits than its factorization.

53798640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 53798640 is about 7334.7556196509. The cubic root of 53798640 is about 377.5059192382.

The spelling of 53798640 in words is "fifty-three million, seven hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1033 1085 1240 1302 1488 1680 1736 1860 2066 2170 2480 2604 3099 3255 3472 3720 4132 4340 5165 5208 6198 6510 7231 7440 8264 8680 10330 10416 12396 13020 14462 15495 16528 17360 20660 21693 24792 26040 28924 30990 32023 36155 41320 43386 49584 52080 57848 61980 64046 72310 82640 86772 96069 108465 115696 123960 128092 144620 160115 173544 192138 216930 224161 247920 256184 289240 320230 347088 384276 433860 448322 480345 512368 578480 640460 672483 768552 867720 896644 960690 1120805 1280920 1344966 1537104 1735440 1793288 1921380 2241610 2561840 2689932 3362415 3586576 3842760 4483220 5379864 6724830 7685520 8966440 10759728 13449660 17932880 26899320 53798640