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48951216 = 2434107353
BaseRepresentation
bin1011101010111…
…0111110110000
310102002222110000
42322232332300
5100012414331
64505110000
71133035626
oct272567660
9112088400
1048951216
11256a4856
1214488300
13a1abc22
146703516
15446e0e6
hex2eaefb0

48951216 has 100 divisors (see below), whose sum is σ = 143408232. Its totient is φ = 16118784.

The previous prime is 48951209. The next prime is 48951223. The reversal of 48951216 is 61215984.

It is an interprime number because it is at equal distance from previous prime (48951209) and next prime (48951223).

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

Its product of digits (17280) is a multiple of the sum of its prime factors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138496 + ... + 138848.

Almost surely, 248951216 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 48951216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71704116).

48951216 is an abundant number, since it is smaller than the sum of its proper divisors (94457016).

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

48951216 is a wasteful number, since it uses less digits than its factorization.

48951216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 465 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 48951216 is about 6996.5145608367. The cubic root of 48951216 is about 365.8090915156.

The spelling of 48951216 in words is "forty-eight million, nine hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 107 108 144 162 214 216 321 324 353 428 432 642 648 706 856 963 1059 1284 1296 1412 1712 1926 2118 2568 2824 2889 3177 3852 4236 5136 5648 5778 6354 7704 8472 8667 9531 11556 12708 15408 16944 17334 19062 23112 25416 28593 34668 37771 38124 46224 50832 57186 69336 75542 76248 113313 114372 138672 151084 152496 226626 228744 302168 339939 453252 457488 604336 679878 906504 1019817 1359756 1813008 2039634 2719512 3059451 4079268 5439024 6118902 8158536 12237804 16317072 24475608 48951216