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1042674642 = 2322917911159
BaseRepresentation
bin111110001001011…
…111001111010010
32200122222100201100
4332021133033102
54113411042032
6251244045230
734560405522
oct7611371722
92618870640
101042674642
11495620989
12251233816
1313802c259
149c699682
156181097c
hex3e25f3d2

1042674642 has 48 divisors (see below), whose sum is σ = 2350296000. Its totient is φ = 333668832.

The previous prime is 1042674637. The next prime is 1042674643. The reversal of 1042674642 is 2464762401.

1042674642 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 6 + 7 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1042674597 and 1042674606.

It is not an unprimeable number, because it can be changed into a prime (1042674643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87859 + ... + 99017.

It is an arithmetic number, because the mean of its divisors is an integer number (48964500).

Almost surely, 21042674642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042674642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175148000).

1042674642 is an abundant number, since it is smaller than the sum of its proper divisors (1307621358).

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

1042674642 is a wasteful number, since it uses less digits than its factorization.

1042674642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11375 (or 11372 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1042674642 is about 32290.4729293332. The cubic root of 1042674642 is about 1014.0271983648.

It can be divided in two parts, 1042 and 674642, that added together give a square (675684 = 8222).

The spelling of 1042674642 in words is "one billion, forty-two million, six hundred seventy-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 179 261 358 522 537 1074 1611 3222 5191 10382 11159 15573 22318 31146 33477 46719 66954 93438 100431 200862 323611 647222 970833 1941666 1997461 2912499 3994922 5824998 5992383 11984766 17977149 35954298 57926369 115852738 173779107 347558214 521337321 1042674642