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52103400 = 23352372347
BaseRepresentation
bin1100011011000…
…0100011101000
310122001010102120
43012300203220
5101314302100
65100431240
71201604646
oct306604350
9118033376
1052103400
1127458068
1215548520
13aa4391b
146cc4196
1548930a0
hex31b08e8

52103400 has 96 divisors (see below), whose sum is σ = 165956640. Its totient is φ = 13512960.

The previous prime is 52103393. The next prime is 52103407. The reversal of 52103400 is 430125.

It is an interprime number because it is at equal distance from previous prime (52103393) and next prime (52103407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 52103400.

It is not an unprimeable number, because it can be changed into a prime (52103407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21027 + ... + 23373.

It is an arithmetic number, because the mean of its divisors is an integer number (1728715).

Almost surely, 252103400 is an apocalyptic number.

52103400 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 52103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82978320).

52103400 is an abundant number, since it is smaller than the sum of its proper divisors (113853240).

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

52103400 is a wasteful number, since it uses less digits than its factorization.

52103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 52103400 is about 7218.2684904345. The cubic root of 52103400 is about 373.4983503777.

Adding to 52103400 its reverse (430125), we get a palindrome (52533525).

The spelling of 52103400 in words is "fifty-two million, one hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2347 2775 3700 4440 4694 5550 7041 7400 9388 11100 11735 14082 18776 22200 23470 28164 35205 46940 56328 58675 70410 86839 93880 117350 140820 173678 176025 234700 260517 281640 347356 352050 434195 469400 521034 694712 704100 868390 1042068 1302585 1408200 1736780 2084136 2170975 2605170 3473560 4341950 5210340 6512925 8683900 10420680 13025850 17367800 26051700 52103400