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52430880 = 2535195749
BaseRepresentation
bin1100100000000…
…0100000100000
310122122202122110
43020000200200
5101410242010
65111435320
71204440465
oct310004040
9118582573
1052430880
1127661107
1215685b40
13ab299b8
146d6b66c
15490a120
hex3200820

52430880 has 96 divisors (see below), whose sum is σ = 173880000. Its totient is φ = 13243392.

The previous prime is 52430867. The next prime is 52430893. The reversal of 52430880 is 8803425.

It is an interprime number because it is at equal distance from previous prime (52430867) and next prime (52430893).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6246 + ... + 11994.

It is an arithmetic number, because the mean of its divisors is an integer number (1811250).

Almost surely, 252430880 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 52430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86940000).

52430880 is an abundant number, since it is smaller than the sum of its proper divisors (121449120).

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

52430880 is a wasteful number, since it uses less digits than its factorization.

52430880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 52430880 is about 7240.9170689906. The cubic root of 52430880 is about 374.2792199350.

The spelling of 52430880 in words is "fifty-two million, four hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 5749 9120 11498 17247 22996 28745 34494 45992 57490 68988 86235 91984 109231 114980 137976 172470 183968 218462 229960 275952 327693 344940 436924 459920 546155 551904 655386 689880 873848 919840 1092310 1310772 1379760 1638465 1747696 2184620 2621544 2759520 3276930 3495392 4369240 5243088 6553860 8738480 10486176 13107720 17476960 26215440 52430880