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52823680 = 275713907
BaseRepresentation
bin1100100110000…
…0011010000000
310200101201110121
43021200122000
5102010324210
65124110024
71210664620
oct311403200
9120351417
1052823680
11278aa238
1215835314
13ac36720
147030880
1549866da
hex3260680

52823680 has 128 divisors (see below), whose sum is σ = 155594880. Its totient is φ = 16699392.

The previous prime is 52823633. The next prime is 52823699. The reversal of 52823680 is 8632825.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57787 + ... + 58693.

It is an arithmetic number, because the mean of its divisors is an integer number (1215585).

Almost surely, 252823680 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 52823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77797440).

52823680 is an abundant number, since it is smaller than the sum of its proper divisors (102771200).

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

52823680 is a wasteful number, since it uses less digits than its factorization.

52823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 52823680 is about 7267.9900935541. The cubic root of 52823680 is about 375.2115665424.

The spelling of 52823680 in words is "fifty-two million, eight hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 907 910 1040 1120 1456 1664 1814 1820 2080 2240 2912 3628 3640 4160 4480 4535 5824 6349 7256 7280 8320 9070 11648 11791 12698 14512 14560 18140 23582 25396 29024 29120 31745 36280 47164 50792 58048 58240 58955 63490 72560 82537 94328 101584 116096 117910 126980 145120 165074 188656 203168 235820 253960 290240 330148 377312 406336 412685 471640 507920 580480 660296 754624 812672 825370 943280 1015840 1320592 1509248 1650740 1886560 2031680 2641184 3301480 3773120 4063360 5282368 6602960 7546240 10564736 13205920 26411840 52823680