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49258272 = 2537233187
BaseRepresentation
bin1011101111100…
…1111100100000
310102200120122110
42323321330200
5100102231042
64515435320
71135455060
oct273717440
9112616573
1049258272
1125894518
12145b5b40
13a28890b
1467833a0
1544d009c
hex2ef9f20

49258272 has 96 divisors (see below), whose sum is σ = 154248192. Its totient is φ = 13457664.

The previous prime is 49258267. The next prime is 49258277. The reversal of 49258272 is 27285294.

It is an interprime number because it is at equal distance from previous prime (49258267) and next prime (49258277).

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

It is a self number, because there is not a number n which added to its sum of digits gives 49258272.

It is not an unprimeable number, because it can be changed into a prime (49258277) 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, 13863 + ... + 17049.

It is an arithmetic number, because the mean of its divisors is an integer number (1606752).

Almost surely, 249258272 is an apocalyptic number.

49258272 is a gapful number since it is divisible by the number (42) 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 49258272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77124096).

49258272 is an abundant number, since it is smaller than the sum of its proper divisors (104989920).

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

49258272 is a wasteful number, since it uses less digits than its factorization.

49258272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3222 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 49258272 is about 7018.4237546617. The cubic root of 49258272 is about 366.5723673020.

The spelling of 49258272 in words is "forty-nine million, two hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3187 3864 5152 6374 7728 9561 12748 15456 19122 22309 25496 38244 44618 50992 66927 73301 76488 89236 101984 133854 146602 152976 178472 219903 267708 293204 305952 356944 439806 513107 535416 586408 713888 879612 1026214 1070832 1172816 1539321 1759224 2052428 2141664 2345632 3078642 3518448 4104856 6157284 7036896 8209712 12314568 16419424 24629136 49258272