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41328496 = 24111719727
BaseRepresentation
bin1001110110100…
…1111101110000
32212202201001001
42131221331300
541040002441
64033451344
71011200146
oct235517560
985681031
1041328496
1121368790
1211a10b54
138740441
1456bb596
153965731
hex2769f70

41328496 has 80 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 16727040.

The previous prime is 41328457. The next prime is 41328517. The reversal of 41328496 is 69482314.

41328496 = T219 + T220 + ... + T636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56485 + ... + 57211.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 241328496 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 41328496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

41328496 is an abundant number, since it is smaller than the sum of its proper divisors (56165264).

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

41328496 is a wasteful number, since it uses less digits than its factorization.

41328496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 776 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 41328496 is about 6428.7242902461. The cubic root of 41328496 is about 345.7401905386.

The spelling of 41328496 in words is "forty-one million, three hundred twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 374 418 646 727 748 836 1292 1454 1496 1672 2584 2908 2992 3344 3553 5168 5816 7106 7997 11632 12359 13813 14212 15994 24718 27626 28424 31988 49436 55252 56848 63976 98872 110504 127952 135949 151943 197744 221008 234821 271898 303886 469642 543796 607772 939284 1087592 1215544 1878568 2175184 2431088 2583031 3757136 5166062 10332124 20664248 41328496