Search a number
-
+
41336832 = 2143292
BaseRepresentation
bin1001110110110…
…0000000000000
32212210010110210
42131230000000
541040234312
64033554120
71011233355
oct235540000
985703423
1041336832
1121373a79
1211a15940
138744184
1456c062c
153967e3c
hex276c000

41336832 has 90 divisors (see below), whose sum is σ = 114160228. Its totient is φ = 13303808.

The previous prime is 41336797. The next prime is 41336891. The reversal of 41336832 is 23863314.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41336832.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1425394 + ... + 1425422.

Almost surely, 241336832 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 41336832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57080114).

41336832 is an abundant number, since it is smaller than the sum of its proper divisors (72823396).

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

41336832 is an frugal number, since it uses more digits than its factorization.

41336832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 34 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 41336832 is about 6429.3725976957. The cubic root of 41336832 is about 345.7634343595.

The spelling of 41336832 in words is "forty-one million, three hundred thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 841 928 1024 1392 1536 1682 1856 2048 2523 2784 3072 3364 3712 4096 5046 5568 6144 6728 7424 8192 10092 11136 12288 13456 14848 16384 20184 22272 24576 26912 29696 40368 44544 49152 53824 59392 80736 89088 107648 118784 161472 178176 215296 237568 322944 356352 430592 475136 645888 712704 861184 1291776 1425408 1722368 2583552 3444736 5167104 6889472 10334208 13778944 20668416 41336832