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49930496 = 2871117149
BaseRepresentation
bin1011111001111…
…0000100000000
310110221201202122
42332132010000
5100240233441
64542103412
71144254650
oct276360400
9113851678
1049930496
1126203580
121487ab68
13a462895
1468ba360
1545b434b
hex2f9e100

49930496 has 144 divisors (see below), whose sum is σ = 132451200. Its totient is φ = 18186240.

The previous prime is 49930487. The next prime is 49930523. The reversal of 49930496 is 69403994.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 335030 + ... + 335178.

It is an arithmetic number, because the mean of its divisors is an integer number (919800).

Almost surely, 249930496 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 49930496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66225600).

49930496 is an abundant number, since it is smaller than the sum of its proper divisors (82520704).

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

49930496 is a wasteful number, since it uses less digits than its factorization.

49930496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 44.

The square root of 49930496 is about 7066.1514277575. The cubic root of 49930496 is about 368.2323674223.

The spelling of 49930496 in words is "forty-nine million, nine hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 128 136 149 154 176 187 224 238 256 272 298 308 352 374 448 476 544 596 616 704 748 896 952 1043 1088 1192 1232 1309 1408 1496 1639 1792 1904 2086 2176 2384 2464 2533 2618 2816 2992 3278 3808 4172 4352 4768 4928 5066 5236 5984 6556 7616 8344 9536 9856 10132 10472 11473 11968 13112 15232 16688 17731 19072 19712 20264 20944 22946 23936 26224 27863 30464 33376 35462 38144 40528 41888 45892 47872 52448 55726 66752 70924 81056 83776 91784 104896 111452 133504 141848 162112 167552 183568 195041 209792 222904 267008 283696 324224 335104 367136 390082 419584 445808 567392 648448 734272 780164 891616 1134784 1468544 1560328 1783232 2269568 2937088 3120656 3566464 4539136 6241312 7132928 12482624 24965248 49930496