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49944224 = 25112331199
BaseRepresentation
bin1011111010000…
…1011010100000
310110222102121002
42332201122200
5100241203344
64542251132
71144342661
oct276413240
9113872532
1049944224
1126212920
1214886aa8
13a468bc5
1468c1368
1545b844e
hex2fa16a0

49944224 has 96 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 20908800.

The previous prime is 49944203. The next prime is 49944227. The reversal of 49944224 is 42244994.

It is not an unprimeable number, because it can be changed into a prime (49944227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250877 + ... + 251075.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 249944224 is an apocalyptic number.

49944224 is a gapful number since it is divisible by the number (44) 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 49944224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

49944224 is an abundant number, since it is smaller than the sum of its proper divisors (66177376).

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

49944224 is a wasteful number, since it uses less digits than its factorization.

49944224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 49944224 is about 7067.1227525776. The cubic root of 49944224 is about 368.2661118679.

The spelling of 49944224 in words is "forty-nine million, nine hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 31 32 44 46 62 88 92 124 176 184 199 248 253 341 352 368 398 496 506 682 713 736 796 992 1012 1364 1426 1592 2024 2189 2728 2852 3184 4048 4378 4577 5456 5704 6169 6368 7843 8096 8756 9154 10912 11408 12338 15686 17512 18308 22816 24676 31372 35024 36616 49352 50347 62744 67859 70048 73232 98704 100694 125488 135718 141887 146464 197408 201388 250976 271436 283774 402776 542872 567548 805552 1085744 1135096 1560757 1611104 2171488 2270192 3121514 4540384 6243028 12486056 24972112 49944224