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53879680 = 275292903
BaseRepresentation
bin1100110110001…
…0001110000000
310202101101000201
43031202032000
5102243122210
65202454544
71222653421
oct315421600
9122341021
1053879680
1128460668
1216064454
13b21628a
147227648
154ae453a
hex3362380

53879680 has 64 divisors (see below), whose sum is σ = 133293600. Its totient is φ = 20801536.

The previous prime is 53879677. The next prime is 53879689. The reversal of 53879680 is 8697835.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 53879680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53879689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17109 + ... + 20011.

Almost surely, 253879680 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 53879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66646800).

53879680 is an abundant number, since it is smaller than the sum of its proper divisors (79413920).

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

53879680 is a wasteful number, since it uses less digits than its factorization.

53879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 53879680 is about 7340.2779238936. The cubic root of 53879680 is about 377.6953771326.

The spelling of 53879680 in words is "fifty-three million, eight hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 2903 3712 4640 5806 9280 11612 14515 18560 23224 29030 46448 58060 84187 92896 116120 168374 185792 232240 336748 371584 420935 464480 673496 841870 928960 1346992 1683740 1857920 2693984 3367480 5387968 6734960 10775936 13469920 26939840 53879680