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52385040 = 24325312347
BaseRepresentation
bin1100011111010…
…1010100010000
310122120102202200
43013311110100
5101402310130
65110443200
71204160031
oct307652420
9118512680
1052385040
112762a724
1215663500
13ab11b86
146d58a88
1548eb760
hex31f5510

52385040 has 120 divisors (see below), whose sum is σ = 181678848. Its totient is φ = 13512960.

The previous prime is 52385023. The next prime is 52385057. The reversal of 52385040 is 4058325.

It is an interprime number because it is at equal distance from previous prime (52385023) and next prime (52385057).

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 52384995 and 52385013.

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, 21147 + ... + 23493.

Almost surely, 252385040 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 52385040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90839424).

52385040 is an abundant number, since it is smaller than the sum of its proper divisors (129293808).

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

52385040 is a wasteful number, since it uses less digits than its factorization.

52385040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 52385040 is about 7237.7510319159. The cubic root of 52385040 is about 374.1701114481.

The spelling of 52385040 in words is "fifty-two million, three hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2347 2480 2790 3720 4464 4694 5580 7041 7440 9388 11160 11735 14082 18776 21123 22320 23470 28164 35205 37552 42246 46940 56328 70410 72757 84492 93880 105615 112656 140820 145514 168984 187760 211230 218271 281640 291028 337968 363785 422460 436542 563280 582056 654813 727570 844920 873084 1091355 1164112 1309626 1455140 1689840 1746168 2182710 2619252 2910280 3274065 3492336 4365420 5238504 5820560 6548130 8730840 10477008 13096260 17461680 26192520 52385040