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52953660 = 22325377951
BaseRepresentation
bin1100101000000…
…0001000111100
310200122022202200
43022000020330
5102024004120
65130551500
71212045564
oct312001074
9120568680
1052953660
1127988961
1215898590
13ac80936
147065da4
1549aee90
hex328023c

52953660 has 72 divisors (see below), whose sum is σ = 164988096. Its totient is φ = 13737600.

The previous prime is 52953629. The next prime is 52953707. The reversal of 52953660 is 6635925.

52953660 is a `hidden beast` number, since 5 + 295 + 366 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2685 + ... + 10635.

Almost surely, 252953660 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 52953660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494048).

52953660 is an abundant number, since it is smaller than the sum of its proper divisors (112034436).

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

52953660 is a wasteful number, since it uses less digits than its factorization.

52953660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8003 (or 7998 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 52953660 is about 7276.9265490315. The cubic root of 52953660 is about 375.5190678513.

It can be divided in two parts, 52953 and 660, that multiplied together give a triangular number (34948980 = T8360).

The spelling of 52953660 in words is "fifty-two million, nine hundred fifty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 7951 15902 23853 31804 39755 47706 71559 79510 95412 119265 143118 159020 238530 286236 294187 357795 477060 588374 715590 882561 1176748 1431180 1470935 1765122 2647683 2941870 3530244 4412805 5295366 5883740 8825610 10590732 13238415 17651220 26476830 52953660