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49073472 = 263374057
BaseRepresentation
bin1011101100110…
…0110101000000
310102100012011000
42323030311000
5100030322342
64511452000
71134055230
oct273146500
9112305130
1049073472
1125778698
1214527000
13a222776
146735cc0
15449544c
hex2eccd40

49073472 has 112 divisors (see below), whose sum is σ = 164917120. Its totient is φ = 14017536.

The previous prime is 49073471. The next prime is 49073473. The reversal of 49073472 is 27437094.

It is an interprime number because it is at equal distance from previous prime (49073471) and next prime (49073473).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49073471) 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, 10068 + ... + 14124.

Almost surely, 249073472 is an apocalyptic number.

49073472 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 49073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82458560).

49073472 is an abundant number, since it is smaller than the sum of its proper divisors (115843648).

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

49073472 is a wasteful number, since it uses less digits than its factorization.

49073472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 49073472 is about 7005.2460342232. The cubic root of 49073472 is about 366.1133752499.

The spelling of 49073472 in words is "forty-nine million, seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 4057 6048 8114 12096 12171 16228 24342 28399 32456 36513 48684 56798 64912 73026 85197 97368 109539 113596 129824 146052 170394 194736 219078 227192 255591 259648 292104 340788 389472 438156 454384 511182 584208 681576 766773 778944 876312 908768 1022364 1168416 1363152 1533546 1752624 1817536 2044728 2336832 2726304 3067092 3505248 4089456 5452608 6134184 7010496 8178912 12268368 16357824 24536736 49073472