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52458720 = 2535293373
BaseRepresentation
bin1100100000011…
…1010011100000
310122201011211120
43020013103200
5101412134340
65112212240
71204614606
oct310072340
9118634746
1052458720
1127680016
121569a080
13ab39582
146d77876
1549134d0
hex32074e0

52458720 has 96 divisors (see below), whose sum is σ = 166253472. Its totient is φ = 13903872.

The previous prime is 52458713. The next prime is 52458733. The reversal of 52458720 is 2785425.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 140454 + ... + 140826.

It is an arithmetic number, because the mean of its divisors is an integer number (1731807).

Almost surely, 252458720 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 52458720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83126736).

52458720 is an abundant number, since it is smaller than the sum of its proper divisors (113794752).

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

52458720 is a wasteful number, since it uses less digits than its factorization.

52458720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 52458720 is about 7242.8392222940. The cubic root of 52458720 is about 374.3454537381.

The spelling of 52458720 in words is "fifty-two million, four hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 293 373 480 586 746 879 1119 1172 1465 1492 1758 1865 2238 2344 2930 2984 3516 3730 4395 4476 4688 5595 5860 5968 7032 7460 8790 8952 9376 11190 11720 11936 14064 14920 17580 17904 22380 23440 28128 29840 35160 35808 44760 46880 59680 70320 89520 109289 140640 179040 218578 327867 437156 546445 655734 874312 1092890 1311468 1639335 1748624 2185780 2622936 3278670 3497248 4371560 5245872 6557340 8743120 10491744 13114680 17486240 26229360 52458720