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49445136 = 24321361433
BaseRepresentation
bin1011110010011…
…1100100010000
310110001001222100
42330213210100
5100124221021
64523440400
71140163626
oct274474420
9113031870
1049445136
1125a01954
1214686100
13a3229a0
1467d1516
15451a626
hex2f27910

49445136 has 120 divisors (see below), whose sum is σ = 151814936. Its totient is φ = 14929920.

The previous prime is 49445119. The next prime is 49445153. The reversal of 49445136 is 63154494.

It is an interprime number because it is at equal distance from previous prime (49445119) and next prime (49445153).

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 44355600 = 2256^2 + 6660^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 49445136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113976 + ... + 114408.

Almost surely, 249445136 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 49445136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75907468).

49445136 is an abundant number, since it is smaller than the sum of its proper divisors (102369800).

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

49445136 is a wasteful number, since it uses less digits than its factorization.

49445136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 512 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 49445136 is about 7031.7235440538. The cubic root of 49445136 is about 367.0353199506.

The spelling of 49445136 in words is "forty-nine million, four hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 61 72 78 104 117 122 144 156 183 208 234 244 312 366 433 468 488 549 624 732 793 866 936 976 1098 1299 1464 1586 1732 1872 2196 2379 2598 2928 3172 3464 3897 4392 4758 5196 5629 6344 6928 7137 7794 8784 9516 10392 11258 12688 14274 15588 16887 19032 20784 22516 26413 28548 31176 33774 38064 45032 50661 52826 57096 62352 67548 79239 90064 101322 105652 114192 135096 158478 202644 211304 237717 270192 316956 343369 405288 422608 475434 633912 686738 810576 950868 1030107 1267824 1373476 1901736 2060214 2746952 3090321 3803472 4120428 5493904 6180642 8240856 12361284 16481712 24722568 49445136