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52158120 = 23357312003
BaseRepresentation
bin1100011011110…
…1111010101000
310122010220111020
43012331322220
5101323024440
65101532440
71202223330
oct306757250
9118126436
1052158120
1127495193
1215574120
13aa627c1
146cda0c0
1548a43d0
hex31bdea8

52158120 has 128 divisors (see below), whose sum is σ = 184688640. Its totient is φ = 11531520.

The previous prime is 52158107. The next prime is 52158131. The reversal of 52158120 is 2185125.

52158120 = T465 + T466 + ... + T744.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 25039 + ... + 27041.

It is an arithmetic number, because the mean of its divisors is an integer number (1442880).

Almost surely, 252158120 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 52158120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92344320).

52158120 is an abundant number, since it is smaller than the sum of its proper divisors (132530520).

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

52158120 is a wasteful number, since it uses less digits than its factorization.

52158120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 52158120 is about 7222.0578784720. The cubic root of 52158120 is about 373.6290563660.

The spelling of 52158120 in words is "fifty-two million, one hundred fifty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2003 2170 2604 3255 3720 4006 4340 5208 6009 6510 8012 8680 10015 12018 13020 14021 16024 20030 24036 26040 28042 30045 40060 42063 48072 56084 60090 62093 70105 80120 84126 112168 120180 124186 140210 168252 186279 210315 240360 248372 280420 310465 336504 372558 420630 434651 496744 560840 620930 745116 841260 869302 931395 1241860 1303953 1490232 1682520 1738604 1862790 2173255 2483720 2607906 3477208 3725580 4346510 5215812 6519765 7451160 8693020 10431624 13039530 17386040 26079060 52158120