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48981996 = 2235723313
BaseRepresentation
bin1011101011011…
…0011111101100
310102011112200000
42322312133230
5100014410441
64505504300
71133224440
oct272663754
9112145600
1048981996
1125715998
12144a2090
13a1bcc3b
146710820
1544782b6
hex2eb67ec

48981996 has 144 divisors (see below), whose sum is σ = 153613824. Its totient is φ = 13343616.

The previous prime is 48981991. The next prime is 48982001. The reversal of 48981996 is 69918984.

It is an interprime number because it is at equal distance from previous prime (48981991) and next prime (48982001).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48981991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156336 + ... + 156648.

Almost surely, 248981996 is an apocalyptic number.

48981996 is a gapful number since it is divisible by the number (46) 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 48981996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76806912).

48981996 is an abundant number, since it is smaller than the sum of its proper divisors (104631828).

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

48981996 is a wasteful number, since it uses less digits than its factorization.

48981996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 48981996 is about 6998.7138818500. The cubic root of 48981996 is about 365.8857477298.

The spelling of 48981996 in words is "forty-eight million, nine hundred eighty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 243 252 276 313 322 324 378 414 483 486 567 621 626 644 756 828 939 966 972 1134 1242 1252 1449 1701 1863 1878 1932 2191 2268 2484 2817 2898 3402 3726 3756 4347 4382 5589 5634 5796 6573 6804 7199 7452 8451 8694 8764 11178 11268 13041 13146 14398 16902 17388 19719 21597 22356 25353 26082 26292 28796 33804 39123 39438 43194 50393 50706 52164 59157 64791 76059 78246 78876 86388 100786 101412 118314 129582 151179 152118 156492 177471 194373 201572 236628 259164 302358 304236 354942 388746 453537 532413 583119 604716 709884 777492 907074 1064826 1166238 1360611 1749357 1814148 2129652 2332476 2721222 3498714 4081833 5442444 6997428 8163666 12245499 16327332 24490998 48981996