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48866976 = 2534171109
BaseRepresentation
bin1011101001101…
…0011010100000
310101221200220000
42322122122200
5100002220401
64503220000
71132235214
oct272323240
9111850800
1048866976
1125647534
1214447600
13a17c792
1466c0944
154454186
hex2e9a6a0

48866976 has 120 divisors (see below), whose sum is σ = 152307540. Its totient is φ = 15316992.

The previous prime is 48866947. The next prime is 48866977. The reversal of 48866976 is 67966884.

It can be written as a sum of positive squares in 2 ways, for example, as 47279376 + 1587600 = 6876^2 + 1260^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48866977) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43510 + ... + 44618.

Almost surely, 248866976 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 48866976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76153770).

48866976 is an abundant number, since it is smaller than the sum of its proper divisors (103440564).

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

48866976 is a wasteful number, since it uses less digits than its factorization.

48866976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1131 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 48866976 is about 6990.4918281906. The cubic root of 48866976 is about 365.5991311086.

The spelling of 48866976 in words is "forty-eight million, eight hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1109 1224 1296 1377 1632 1836 2218 2448 2592 2754 3327 3672 4436 4896 5508 6654 7344 8872 9981 11016 13308 14688 17744 18853 19962 22032 26616 29943 35488 37706 39924 44064 53232 56559 59886 75412 79848 89829 106464 113118 119772 150824 159696 169677 179658 226236 239544 301648 319392 339354 359316 452472 479088 509031 603296 678708 718632 904944 958176 1018062 1357416 1437264 1527093 1809888 2036124 2714832 2874528 3054186 4072248 5429664 6108372 8144496 12216744 16288992 24433488 48866976