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53747680 = 2557371297
BaseRepresentation
bin1100110100000…
…1111111100000
310202010122221211
43031001333200
5102224411210
65155555504
71221563530
oct315017740
9122118854
1053747680
1128380478
1215bbbb94
13b19b17c
1471d14c0
154aba38a
hex3341fe0

53747680 has 96 divisors (see below), whose sum is σ = 149155776. Its totient is φ = 17915904.

The previous prime is 53747677. The next prime is 53747699. The reversal of 53747680 is 8674735.

53747680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40792 + ... + 42088.

It is an arithmetic number, because the mean of its divisors is an integer number (1553706).

Almost surely, 253747680 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 53747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74577888).

53747680 is an abundant number, since it is smaller than the sum of its proper divisors (95408096).

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

53747680 is a wasteful number, since it uses less digits than its factorization.

53747680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 53747680 is about 7331.2809249135. The cubic root of 53747680 is about 377.3866858706.

The spelling of 53747680 in words is "fifty-three million, seven hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 70 74 80 112 140 148 160 185 224 259 280 296 370 518 560 592 740 1036 1120 1184 1295 1297 1480 2072 2590 2594 2960 4144 5180 5188 5920 6485 8288 9079 10360 10376 12970 18158 20720 20752 25940 36316 41440 41504 45395 47989 51880 72632 90790 95978 103760 145264 181580 191956 207520 239945 290528 335923 363160 383912 479890 671846 726320 767824 959780 1343692 1452640 1535648 1679615 1919560 2687384 3359230 3839120 5374768 6718460 7678240 10749536 13436920 26873840 53747680