Search a number
-
+
24284790442 = 21123417116487
BaseRepresentation
bin10110100111011111…
…000111111010101010
32022200110010011202001
4112213133013322222
5344213401243232
615053431201214
71516541212213
oct264737077252
968613104661
1024284790442
11a332149550
124858b1620a
1323a03002b3
1412653b040a
15971ee86e7
hex5a77c7eaa

24284790442 has 64 divisors (see below), whose sum is σ = 43078791168. Its totient is φ = 10155376000.

The previous prime is 24284790437. The next prime is 24284790527. The reversal of 24284790442 is 24409748242.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 24284790392 and 24284790401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464723 + ... + 1481209.

It is an arithmetic number, because the mean of its divisors is an integer number (673106112).

Almost surely, 224284790442 is an apocalyptic number.

24284790442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24284790442 is a deficient number, since it is larger than the sum of its proper divisors (18794000726).

24284790442 is a wasteful number, since it uses less digits than its factorization.

24284790442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16635.

The product of its (nonzero) digits is 1032192, while the sum is 46.

It can be divided in two parts, 24284 and 790442, that added together give a triangular number (814726 = T1276).

The spelling of 24284790442 in words is "twenty-four billion, two hundred eighty-four million, seven hundred ninety thousand, four hundred forty-two".

Divisors: 1 2 11 22 23 41 46 71 82 142 253 451 506 781 902 943 1562 1633 1886 2911 3266 5822 10373 16487 17963 20746 32021 32974 35926 64042 66953 133906 181357 362714 379201 675967 736483 758402 1170577 1351934 1472966 2341154 4171211 7435637 8342422 12876347 14871274 15547241 25752694 26923271 31094482 47993657 53846542 95987314 171019651 296155981 342039302 527930227 592311962 1055860454 1103854111 2207708222 12142395221 24284790442