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53091840 = 293531223
BaseRepresentation
bin1100101010000…
…1111000000000
310200220100022110
43022201320000
5102042414330
65133535320
71213162464
oct312417000
9120810273
1053091840
1127a7275a
1215944540
13accb7b9
1470a04a4
1549dadb0
hex32a1e00

53091840 has 160 divisors (see below), whose sum is σ = 175988736. Its totient is φ = 13639680.

The previous prime is 53091839. The next prime is 53091847. The reversal of 53091840 is 4819035.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 53091798 and 53091807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53091847) 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, 237969 + ... + 238191.

Almost surely, 253091840 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 53091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87994368).

53091840 is an abundant number, since it is smaller than the sum of its proper divisors (122896896).

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

53091840 is a wasteful number, since it uses less digits than its factorization.

53091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 53091840 is about 7286.4147562433. The cubic root of 53091840 is about 375.8454170655.

The spelling of 53091840 in words is "fifty-three million, ninety-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 223 240 248 256 310 320 372 384 446 465 480 496 512 620 640 669 744 768 892 930 960 992 1115 1240 1280 1338 1488 1536 1784 1860 1920 1984 2230 2480 2560 2676 2976 3345 3568 3720 3840 3968 4460 4960 5352 5952 6690 6913 7136 7440 7680 7936 8920 9920 10704 11904 13380 13826 14272 14880 15872 17840 19840 20739 21408 23808 26760 27652 28544 29760 34565 35680 39680 41478 42816 47616 53520 55304 57088 59520 69130 71360 79360 82956 85632 103695 107040 110608 114176 119040 138260 142720 165912 171264 207390 214080 221216 238080 276520 285440 331824 342528 414780 428160 442432 553040 570880 663648 829560 856320 884864 1106080 1327296 1659120 1712640 1769728 2212160 2654592 3318240 3539456 4424320 5309184 6636480 8848640 10618368 13272960 17697280 26545920 53091840