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52920700 = 225271923173
BaseRepresentation
bin1100100111100…
…0000101111100
310200120122112221
43021320011330
5102021430300
65130135124
71211550520
oct311700574
9120518487
1052920700
1127966118
12158814a4
13ac6b931
147057d80
1549a531a
hex327817c

52920700 has 144 divisors (see below), whose sum is σ = 144990720. Its totient is φ = 16346880.

The previous prime is 52920697. The next prime is 52920739. The reversal of 52920700 is 702925.

52920700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305814 + ... + 305986.

It is an arithmetic number, because the mean of its divisors is an integer number (1006880).

Almost surely, 252920700 is an apocalyptic number.

52920700 is a gapful number since it is divisible by the number (50) 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 52920700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72495360).

52920700 is an abundant number, since it is smaller than the sum of its proper divisors (92070020).

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

52920700 is a wasteful number, since it uses less digits than its factorization.

52920700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 52920700 is about 7274.6615041526. The cubic root of 52920700 is about 375.4411401102.

The spelling of 52920700 in words is "fifty-two million, nine hundred twenty thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 19 20 23 25 28 35 38 46 50 70 76 92 95 100 115 133 140 161 173 175 190 230 266 322 346 350 380 437 460 475 532 575 644 665 692 700 805 865 874 950 1150 1211 1330 1610 1730 1748 1900 2185 2300 2422 2660 3059 3220 3287 3325 3460 3979 4025 4325 4370 4844 6055 6118 6574 6650 7958 8050 8650 8740 10925 12110 12236 13148 13300 15295 15916 16100 16435 17300 19895 21850 23009 24220 27853 30275 30590 32870 39790 43700 46018 55706 60550 61180 65740 75601 76475 79580 82175 92036 99475 111412 115045 121100 139265 151202 152950 164350 198950 230090 278530 302404 305900 328700 378005 397900 460180 529207 557060 575225 696325 756010 1058414 1150450 1392650 1512020 1890025 2116828 2300900 2646035 2785300 3780050 5292070 7560100 10584140 13230175 26460350 52920700