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41428992 = 211311613
BaseRepresentation
bin1001111000001…
…0100000000000
32212221210220010
42132002200000
541101211432
64035544520
71012066143
oct236024000
985853803
1041428992
1121427240
1211a5b140
1387770c7
14570605a
1539853cc
hex2782800

41428992 has 96 divisors (see below), whose sum is σ = 120687840. Its totient is φ = 12533760.

The previous prime is 41428979. The next prime is 41428999. The reversal of 41428992 is 29982414.

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

It is a super-2 number, since 2×414289922 = 3432722756272128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41428992.

It is not an unprimeable number, because it can be changed into a prime (41428999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67278 + ... + 67890.

It is an arithmetic number, because the mean of its divisors is an integer number (1257165).

Almost surely, 241428992 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 41428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60343920).

41428992 is an abundant number, since it is smaller than the sum of its proper divisors (79258848).

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

41428992 is a wasteful number, since it uses less digits than its factorization.

41428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 629 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 41428992 is about 6436.5357141866. The cubic root of 41428992 is about 346.0202021906.

The spelling of 41428992 in words is "forty-one million, four hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 613 704 768 1024 1056 1226 1408 1536 1839 2048 2112 2452 2816 3072 3678 4224 4904 5632 6144 6743 7356 8448 9808 11264 13486 14712 16896 19616 20229 22528 26972 29424 33792 39232 40458 53944 58848 67584 78464 80916 107888 117696 156928 161832 215776 235392 313856 323664 431552 470784 627712 647328 863104 941568 1255424 1294656 1726208 1883136 2589312 3452416 3766272 5178624 6904832 10357248 13809664 20714496 41428992