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41452255200 = 2535228361031
BaseRepresentation
bin100110100110101111…
…110011011111100000
310221222212201202010010
4212212233303133200
51134343234131300
631013133404520
72665140232656
oct464657633740
9127885652103
1041452255200
1116641798954
12804a339740
133ba7bc8a75
142013402dd6
15112924ea50
hex9a6bf37e0

41452255200 has 144 divisors (see below), whose sum is σ = 135406083456. Its totient is φ = 11014694400.

The previous prime is 41452255147. The next prime is 41452255261. The reversal of 41452255200 is 255225414.

It is a super-2 number, since 2×414522552002 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648685 + ... + 709715.

It is an arithmetic number, because the mean of its divisors is an integer number (940320024).

Almost surely, 241452255200 is an apocalyptic number.

41452255200 is a gapful number since it is divisible by the number (40) 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 41452255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67703041728).

41452255200 is an abundant number, since it is smaller than the sum of its proper divisors (93953828256).

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

41452255200 is a wasteful number, since it uses less digits than its factorization.

41452255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61337 (or 61324 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 41452255200 in words is "forty-one billion, four hundred fifty-two million, two hundred fifty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 283 300 400 480 566 600 800 849 1132 1200 1415 1698 2264 2400 2830 3396 4245 4528 5660 6792 7075 8490 9056 11320 13584 14150 16980 21225 22640 27168 28300 33960 42450 45280 56600 61031 67920 84900 113200 122062 135840 169800 183093 226400 244124 305155 339600 366186 488248 610310 679200 732372 915465 976496 1220620 1464744 1525775 1830930 1952992 2441240 2929488 3051550 3661860 4577325 4882480 5858976 6103100 7323720 9154650 9764960 12206200 14647440 17271773 18309300 24412400 29294880 34543546 36618600 48824800 51815319 69087092 73237200 86358865 103630638 138174184 146474400 172717730 207261276 259076595 276348368 345435460 414522552 431794325 518153190 552696736 690870920 829045104 863588650 1036306380 1295382975 1381741840 1658090208 1727177300 2072612760 2590765950 2763483680 3454354600 4145225520 5181531900 6908709200 8290451040 10363063800 13817418400 20726127600 41452255200