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55523840 = 29523241
BaseRepresentation
bin1101001111001…
…1101000000000
310212110220101112
43103303220000
5103203230330
65302022452
71242642041
oct323635000
9125426345
1055523840
1129383979
1216717a28
13b670758
1475348c8
154d1b795
hex34f3a00

55523840 has 120 divisors (see below), whose sum is σ = 142561188. Its totient is φ = 20725760.

The previous prime is 55523827. The next prime is 55523843. The reversal of 55523840 is 4832555.

It can be written as a sum of positive squares in 2 ways, for example, as 48888064 + 6635776 = 6992^2 + 2576^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 55523797 and 55523806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55523843) 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 11 ways as a sum of consecutive naturals, for example, 1354220 + ... + 1354260.

Almost surely, 255523840 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 55523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71280594).

55523840 is an abundant number, since it is smaller than the sum of its proper divisors (87037348).

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

55523840 is an equidigital number, since it uses as much as digits as its factorization.

55523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 55523840 is about 7451.4320771245. The cubic root of 55523840 is about 381.4987898665.

The spelling of 55523840 in words is "fifty-five million, five hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 41 46 64 80 82 92 115 128 160 164 184 205 230 256 320 328 368 410 460 512 529 640 656 736 820 920 943 1058 1280 1312 1472 1640 1840 1886 2116 2560 2624 2645 2944 3280 3680 3772 4232 4715 5248 5290 5888 6560 7360 7544 8464 9430 10496 10580 11776 13120 14720 15088 16928 18860 20992 21160 21689 26240 29440 30176 33856 37720 42320 43378 52480 58880 60352 67712 75440 84640 86756 104960 108445 120704 135424 150880 169280 173512 216890 241408 270848 301760 338560 347024 433780 482816 603520 677120 694048 867560 1207040 1354240 1388096 1735120 2414080 2776192 3470240 5552384 6940480 11104768 13880960 27761920 55523840