Search a number
-
+
48823434 = 232112371151
BaseRepresentation
bin1011101000111…
…1110010001010
310101212111011100
42322033302022
544444322214
64502242230
71131664242
oct272176212
9111774140
1048823434
1125617850
1214426376
13a165a0a
1466acb22
154446309
hex2e8fc8a

48823434 has 96 divisors (see below), whose sum is σ = 122923008. Its totient is φ = 13860000.

The previous prime is 48823433. The next prime is 48823451. The reversal of 48823434 is 43432884.

It is not an unprimeable number, because it can be changed into a prime (48823433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323259 + ... + 323409.

It is an arithmetic number, because the mean of its divisors is an integer number (1280448).

Almost surely, 248823434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48823434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61461504).

48823434 is an abundant number, since it is smaller than the sum of its proper divisors (74099574).

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

48823434 is a wasteful number, since it uses less digits than its factorization.

48823434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 261 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 48823434 is about 6987.3767609883. The cubic root of 48823434 is about 365.4905120977.

The spelling of 48823434 in words is "forty-eight million, eight hundred twenty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 71 99 138 142 151 198 207 213 253 302 414 426 453 506 639 759 781 906 1278 1359 1518 1562 1633 1661 2277 2343 2718 3266 3322 3473 4554 4686 4899 4983 6946 7029 9798 9966 10419 10721 14058 14697 14949 17963 20838 21442 29394 29898 31257 32163 35926 38203 53889 62514 64326 76406 96489 107778 114609 117931 161667 192978 229218 235862 246583 323334 343827 353793 493166 687654 707586 739749 1061379 1479498 2122758 2219247 2712413 4438494 5424826 8137239 16274478 24411717 48823434