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52053624 = 23337173199
BaseRepresentation
bin1100011010010…
…0011001111000
310121221121011000
43012210121320
5101311203444
65055405000
71201306560
oct306443170
9117847130
1052053624
1127423727
1215523760
13aa2707c
146cadda0
154883469
hex31a4678

52053624 has 128 divisors (see below), whose sum is σ = 167040000. Its totient is φ = 14712192.

The previous prime is 52053613. The next prime is 52053649. The reversal of 52053624 is 42635025.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261477 + ... + 261675.

It is an arithmetic number, because the mean of its divisors is an integer number (1305000).

Almost surely, 252053624 is an apocalyptic number.

52053624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52053624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83520000).

52053624 is an abundant number, since it is smaller than the sum of its proper divisors (114986376).

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

52053624 is a wasteful number, since it uses less digits than its factorization.

52053624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 52053624 is about 7214.8197482681. The cubic root of 52053624 is about 373.3793742821.

Adding to 52053624 its reverse (42635025), we get a palindrome (94688649).

The spelling of 52053624 in words is "fifty-two million, fifty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 173 189 199 216 252 346 378 398 504 519 597 692 756 796 1038 1194 1211 1384 1393 1512 1557 1592 1791 2076 2388 2422 2786 3114 3582 3633 4152 4179 4671 4776 4844 5373 5572 6228 7164 7266 8358 9342 9688 10746 10899 11144 12456 12537 14328 14532 16716 18684 21492 21798 25074 29064 32697 33432 34427 37368 37611 42984 43596 50148 65394 68854 75222 87192 100296 103281 130788 137708 150444 206562 240989 261576 275416 300888 309843 413124 481978 619686 722967 826248 929529 963956 1239372 1445934 1859058 1927912 2168901 2478744 2891868 3718116 4337802 5783736 6506703 7436232 8675604 13013406 17351208 26026812 52053624